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# For Each Equation Given Below Find the Values of M So that the Equation Has Equal Roots. Also Find the Solution of Equation 3x^2 + 12x + (M + 7) = 0 - Mathematics

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Sum

For each equation given below find the values of m so that the equation has equal roots. Also find the solution of equation

3x^2 + 12x + (m + 7) = 0

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#### Solution

3x^2 + 12x + (m + 7) = 0

Here a = 3, b = 12 and c= m + 7

Given equation has equal roots then D = 0

=> b^2- 4ac = 0

=> (12)^2 - 4(3)(m + 7) = 0

=> 144 - 12m - 84 = 0

=> -12m = -60

=> m = 5

Put value of m in given equation

3x^2 + 12x + 12 = 0

=> x^2 + 4x + 4 = 0

=> (x + 2)^2 = 0

=> x = -2

Concept: Solutions of Quadratic Equations by Factorization
Is there an error in this question or solution?

#### APPEARS IN

Selina Concise Maths Class 10 ICSE
Chapter 5 Quadratic Equations
Exercise 5 (E) | Q 18.2 | Page 67
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