Find the value of ‘m’ for which the given value of the variable is a solution of the equation $x^{2} + 2 a x + m = 0$ ; $x + a = 0$

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Solution

Step 1:- For, $x^{2} + 2 a x + m = 0$ at $x + a = 0, x = - a$

$(- a)^{2} + 2 a (- a) + m = 0$

Step 2:- $a^{2} - 2 a^{2} + m = 0$

Step 3:- m = $a^{2}$

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