-1(x)=X2+4x-1

Solution for -1(x)=X2+4x-1 equation:

-1(x)=x2+4x-1

We move all terms to the left:

-1(x)-(x2+4x-1)=0

We add all the numbers together, and all the variables

-(+x^2+4x-1)-1x=0

We get rid of parentheses

-x^2-4x-1x+1=0

We add all the numbers together, and all the variables

-1x^2-5x+1=0

a = -1; b = -5; c = +1;
Δ = b2-4ac
Δ = -52-4·(-1)·1
Δ = 29
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-5)-\sqrt{29}}{2*-1}=\frac{5-\sqrt{29}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-5)+\sqrt{29}}{2*-1}=\frac{5+\sqrt{29}}{-2}
$