Question

Angle 1=(2x^2+6)

Angle 2=(x^2+x)
Angle 3=(4x)

Find X using this Angle 1=angle 2 + angle 3

Someone please help meeee

Answer 1

X = 2 or X = 3

Explanation:

Substitute the given values in the given equation and solve the quadratic.

angle 1 = angle 2 + angle 3

2x^2 +6 = (x^2 +x) +(4x)

2x ^2 +6 = x^2 +5x . . . . . . . . collect terms

x^2 -5x +6 = 0 . . . . . . . . . . . subtract x^2 +5x

(x -2)(x -3) = 0 . . . . . . . . . . factor

x may be either 2 or 3.

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Additional comment

Solutions to a factored quadratic are the values of x that make the factors zero.