(A) To find the solution of the quadratic equation $x^{2} + 7x + 12 = 0$,we factorize the quadratic expression:$x^{2} + 4x + 3x + 12 = 0$$x(x + 4) + 3

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(A) To find the solution of the quadratic equation $x^{2} + 7x + 12 = 0$,we factorize the quadratic expression:$x^{2} + 4x + 3x + 12 = 0$$x(x + 4) + 3(x + 4) = 0$$(x + 4)(x + 3) = 0$Setting each factor to zero:$x + 4 = 0 \implies x = -4$$x + 3 = 0 \implies x = -3$Comparing this with the given options,$-3$ is a solution.

Class 10 Mathematics Quadratic Equations Mix Examples - Quadratic Equations

Easy

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

A
$-3$
B
$4$
C
$7$
D
$3$

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Mix Examples - Quadratic Equations

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

Similar Questions

Find the roots of the following quadratic equation by using the quadratic formula,if they exist: $2 y^{2}+5 y-3=0$.

If both the roots of a quadratic equation $kx^{2} + 4x + 1 = 0$ are equal,then $k = \ldots$

Solve the following equation using the quadratic formula,if the equation has a solution in $R$: $x + \frac{1}{x} = 3, x \neq 0$.

Examine whether the following equation is quadratic or not: $x(x+1)+8=(x+2)(x-2)$

State whether the quadratic equation $(x-\sqrt{2})^{2}-2(x+1)=0$ has two distinct real roots. Justify your answer.

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