brittanyfox411

brittanyfox411

20.03.2020 •

Mathematics

Find the value of x. Then find the measure of each angle

Find the value of x. Then find the measure of each angle

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Ответ:

mat1413

07.04.2022

A. x = 0, x = -3, x = 2, and x = -2

Step-by-step explanation:

$x^{4} +12x=4x^{2} +3x^{3}$

by moving the terms on the left side to the right side

$x^{4} -3x^{3} -4x^{2} +12x = 0$

factor an $x^{3}$ from $x^{4} -3x^{3}$

and factor - 4 from $-4x^{2} +12x$

the equation becomes :

$x^{3} (x - 3 )-4x (x - 3)$ = 0

take (x - 3) as a common factor the equation becomes :

$(x-3)(x^{3}-4x )$ = 0

thus

x - 3 = 0 ⇒ x = 3

and

$x^{3} - 4x = 0$ by factoring an x we get :

$x(x^{2}-4 ) =0$ ⇒ = 0 and $x^{2} - 4 = 0$

$x^{2} - 4 =0$ ⇒ x = 2 and x = -2

Thus

the values are :

x = 0, x = -3, x = 2, and x = -2

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