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Show that X = −3 is a Solution of X2 + 6x + 9 = 0. - CBSE Class 10 - Mathematics

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Question

Show that x = −3 is a solution of x2 + 6x + 9 = 0.

Solution

Given that the equation  x2 + 6x + 9 = 0.

`x^2 + 3x + 3x + 9 = 0`

     x (x+3) + 3 (x+3) = 0

            (x + 3) (x+3) = 0

                    (x + 3)2 = 0

Square root both side, we get

(x+3) = 0

       x = -3

Therefore, x = -3 is the solution of given equation.

Hence, proved.

  Is there an error in this question or solution?

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Solution Show that X = −3 is a Solution of X2 + 6x + 9 = 0. Concept: Solutions of Quadratic Equations by Factorization.
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