Question

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

Answer 1

Answer:

x = 1

x = -5/8   + i* root( 39)  / 8

or x = -5/8   - i* root( 39)  / 8

Step-by-step 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