Question

(x+x)^2 × -(x×(-1))=4+x-x^2
solve for x, show work.

Answer 1

x = 1

x = -5/8 + i* root( 39) / 8

or x = -5/8 - i* root( 39) / 8

Explanation:

(x+x)^2 × -(x×(-1))=4+x-x^2

solve for x, show work.

(x+x)^2 × -(x×(-1)) = 4+x-x^2

Simplify:

(2x)^2 * (-(-x)) = 4 + x - x^2

4x*x * (-(-x)) = 4 + x - x*x

4*x*x*x = 4 + x - x*x

4*x*x*x - 4 = x *(1 - x)

4* (xxx - 1) = x * (1- x)

4* (x - 1)*( x*x +x + 1) = x (1 - x)

4( xx + x + 1) = -x

x = 1 is a solution.

4xx + 4x + 4 = -x

4xx + 5x + 4 = 0

x = -5/8 + root(25 - 4*4*4) / 2*4

x = -5/8 + i* root( 39) / 8

or x = -5/8 - i* root( 39) / 8

also x = 1