For what value of k is a perfect square

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August undefined, 2024

WebThe value of the variable for which the equation gets satisfied is called the solution or the root of the equation. Let us find more about the Nature of Roots of a quadratic equation. ... Case IV: b 2 – 4ac > 0 and perfect … WebMar 25, 2024 · The value of k for the quadratic equation to be perfect square is 9. Step-by-step explanation: Given as : The quadratic equation is . 4 x² - 12 x + k = 0. According to …

10.2: Solve Quadratic Equations by Completing the Square

WebA number made by squaring a whole number. 16 is a perfect square because 4 2 = 16 25 is also a perfect square because 5 2 = 25 etc... WebA quadratic expression ax 2 + bx + c, a ≠ 0 is a perfect square, when b 2 - 4ac = 0 Calculation : Given expression is x 4 – 2x 2 + k ⇒ (x 2) 2 - 2x 2 + k Let the value of x 2 be y ⇒ y 2 - 2y + k On comparing quadratic expression we get a = 1, b = -2 and c = k According to the question, this expression is a perfect square ⇒ b 2 - 4ac = 0 extensively magyarul

Nature of Roots: Discriminant, Various Cases for D, …

WebAnswer (1 of 4): In order for 9x^2-30x+k to be perfect square, the discriminat must be zero. Therefore, we have: 900–36k = 0 => k = 900/36 => k = 25 Indeed, when k = 25, we have: 9x^2-30x+25 = (3x-5)^2 = (5–3x)^2 WebPerfect Square Formula When a polynomial is multiplied by itself, then it is a perfect square. Example – polynomial ax2 + bx + c is a perfect square if b2 = 4ac. Perfect Square Formula is given as, ( a + b) 2 = a 2 + 2 a b + b 2 Solved Example Question: Is x 2 + 10x + 25 a perfect square or not ? Solution: x 2 + 10x + 25 = x 2 + 10x + (5 × 5) WebAnswer (1 of 3): There are four answers: \quad k=-16\qquad k=-7\qquad k=0\qquad k=9 These are symmetric around \ k=-3.5. We don’t need to check any \ k>9\ because the value \ k^2+7k\ will always fall in between two consecutive squares: \quad (k+3)^2\ <\ k^2+7k\ <\ (k+4)^2 This can be shown... extensor jelentése

What is the smallest positive integer K such that the

How do you find the values of k that will make 9x^2 + 6x +k a …

WebSince no perfect square can end with 3, 1! + 2! + 3! = 9 is the last sum above that will be a perfect square. So only the values n=1 and n=3 produce a sum for which k is a perfect … WebFeb 13, 2024 · We also solved an equation in which the left side was a perfect square trinomial, but we had to rewrite it the form (x − k)2 in order to use the square root property. x2 − 10x + 25 = 18 (x − 5)2 = 18 What happens if the variable is not part of a perfect square? Can we use algebra to make a perfect square? extensive magyarulWebHence for k = 0 or k = 3, the given equation will be a perfect square. Solve any question of Complex Numbers And Quadratic Equations with:- Patterns of problems exteremely什么意思

"WebNov 26, 2024 · For example 16=4^2, is a perfect square. Now, 1575 = 3^2 * 5^2 * 7, so if k=7 then 1575k = (3 * 5 * 7)^2, which is a perfect square (basically the least positive value of k must complete only the power of 7 to even power as powers of other primes are already even). Answer: A. " - For what value of k is a perfect square

For what value of k is a perfect square

WebApr 13, 2016 · Determine the value of k for trinomial to be a perfect square. NEXT: • Perfect Trinomial... CORRECTION: For the first trinomial k = -12 and 12 Both should have been mention. Show more. NEXT ... WebJul 22, 2016 · For what values of k the expression will be a perfect square? the question is the expression k x 2 + ( k + 1) x + 2 will be a perfect square of a linear polynomial for …

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WebNov 18, 2024 · Write the value of k for whichx^2+4x+k is a perfect square Get the answers you need, now! ananditha2004 ananditha2004 18.11.2024 Math Secondary School answered Write the value of k for whichx^2+4x+k is a perfect square See answers Advertisement Advertisement Brainly User Brainly User heya.. here is your answer.. … WebFind the smallest value of k such that 2 2 x 3 2 5 x k is a perfect square Options. A) 3. B) 5. C) 15. D) 30. The correct answer is C. Explanation: 2 2 x 3 3 x 5 1 x k; 2 2 x 3 2. x 3 x 5 x k. 2 2 x 3 2 x 15 x k. smallest value for k. 2 2 x 3 2 x 15 = 2 2 x 3 2 x 15 2. k = 15. Prepare for Your Exams With the Ulearngo Mobile App;

WebQuestion: Find a value of k that will make x^(2)+kx+144 a perfect square trinomial. Find a value of k that will make x^(2)+kx+144 a perfect square trinomial. Expert Answer. Who are the experts? Experts are tested by Chegg as specialists in their subject area. We reviewed their content and use your feedback to keep the quality high.

WebClick here👆to get an answer to your question ️ For what value of k,(4 - k)x^2 + 2(k + 2)x + (8k + 1) is a perfect square i.e. has equal roots WebWell, you have an odd number of 3’s being multiplied; in order to form a perfect square, you need one more 3. Same with the 5: you need one more 5 to have an even number of 5’s …

WebWhat should be the value of k so that 9x + 42x +k is a perfect square trinomial? Answer: 4. Complete the expression to form a Perfect Square Trinomial. 16x+ + 25 Answer: 5. Factor completely x-y. Answer: 6. Factor 4x + 4x+1. Answer: 7. Factor completely a° – b° . Question Transcribed Image Text: 3.

WebJul 3, 2024 · The value of k=1 The perfect square is 9x^2+6x+k=(3x+sqrtk)^2 =9x^2+6xsqrtk+k^2 Comparing the 2 sides 6sqrtk=6 sqrtk=1 k=1 hercule satan vs dan hibikiWebJul 26, 2024 · If 9x^2-30x+k is a perfect square then k=?? Look we know the condition of a perfect square, which tells us that d=b^2-4ac=0. Step-by-step explanation: ∴here we … extensor apparátus jelentéseWebMar 25, 2024 · The value of k for the quadratic equation to be perfect square is 9 Step-by-step explanation: Given as : The quadratic equation is 4 x² - 12 x + k = 0 According to question The equation is a perfect square For quadratic equation to be perfect square the discriminant of the equation should be zero i.e Discriminant = D = 0 ex ten next olmaz ne demekWebExpressions of this form are called perfect square trinomials. The name reflects the fact that this type of three termed polynomial can be expressed as a perfect square! Let's take a look at a few examples in which we … extended magyarulWebJul 3, 2024 · The value of k = 1 Explanation: The perfect square is 9x2 + 6x +k = (3x + √k)2 = 9x2 + 6x√k + k2 Comparing the 2 sides 6√k = 6 √k = 1 k = 1 Answer link Mark D. · Tony B Jul 3, 2024 (3x +a)2 will give a perfect square (3x +a)2 = (3x +a)(3x +a) = 9x2 + 3ax +3ax + a2 = 9x2 + 6ax +a2 So 9x2 + 6ax +a2 = 9x2 +6x +k 6ax = 6x ⇒ a = 1 k = … hercules prima 5 tank aufkleberWebA perfect square is a number that can be expressed as the product of two equal integers. What does that mean? Basically, a perfect square is what you get when you multiply … extent magyarulWebJun 29, 2013 · Given that k^2x^2 + 2 (k + 1)x + 4 is a perfect square. Perfect square = (x + a)^2 = x^2 + 2ax + a^2 Equating the coefficient of x^2 we get, k^2 = 1 => k = +/- 1 … extergyai