Question

For what values of x is x2 2x = 24 true? â€""6 and â€""4 â€""4 and 6 4 and â€""6 6 and 4.

Answer 1

The value of $x$ which satisfies the given quadratic equation is 4 and -6.

Given-

The given quadratic equation is.

$x^2+2x=24$

Rewrite the given quadratic equation in the standard form,

$x^2+2x-24=0$

Factorize the equation to find the value of $x$. Apply the middle term splitting method. The above equation can be rewritten as,

$x^2+6x-4x-24=0$

$x(x+6)-4(x+6)=0$

$(x-4)(x+6)=0$

$x=4,-6$

Hence, the value of $x$ which satisfies the given quadratic equation is 4 and -6.

For more about the quadratic equation, follow the link below-

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