What are the solutions of 8x2 = 6 + 22x? ***Check all of the boxes that apply.***
1.) x = -3
2.)x = -1/4
3.)x = 3
4.)x = 6

Respuesta :

8x^2 = 6 + 22x
8x^2 - 22x - 6 = 0
2(4x^2 - 11x - 3) = 0
2(4x + 1)(x - 3) = 0

4x + 1 = 0
4x = -1
x = -1/4 <====

x - 3 = 0
x = 3 <====

The equivalent value of x from the given expression is -1/4 and 3

Given the expression

8x^2 = 6 + 22x

Equate the expression to zero

8x^2 - 22x - 6 = 0

Factorize the quadratic functions

8x^2 - 24x + 2x - 6 = 0

8x(x - 3) + 2(x - 3) = 0

(8x + 2)(x - 3) = 0

8x + 2 = 0 and x = 3

8x = -2 and x = 3

x  = -1/4 and 3

Hence the equivalent value of x from the given expression is -1/4 and 3

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