x = dots is a solution of the quadratic equat | vedclass

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(B) To find the solution of the quadratic equation $x^{2} + 7x + 12 = 0$,we factorize the quadratic expression.We look for two numbers whose product i

Vedclass · Accepted Answer

$-3$

Vedclass · Answer

(B) To find the solution of the quadratic equation $x^{2} + 7x + 12 = 0$,we factorize the quadratic expression.We look for two numbers whose product is $12$ and whose sum is $7$.These numbers are $3$ and $4$.So,the equation can be written as $x^{2} + 3x + 4x + 12 = 0$.Grouping the terms,we get $x(x + 3) + 4(x + 3) = 0$.Factoring out $(x + 3)$,we get $(x + 3)(x + 4) = 0$.Setting each factor to zero,we get $x + 3 = 0$ or $x + 4 = 0$.Thus,$x = -3$ or $x = -4$.Comparing this with the given options,$-3$ is a solution.

$x = \dots$ is a solution of the quadratic equation $x^{2} + 7x + 12 = 0$.

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