9x-1=5-(x2)

Solution for 9x-1=5-(x2) equation:

9x-1=5-(x2)

We move all terms to the left:

9x-1-(5-(x2))=0

We add all the numbers together, and all the variables

-(-1x^2+5)+9x-1=0

We get rid of parentheses

1x^2+9x-5-1=0

We add all the numbers together, and all the variables

x^2+9x-6=0

a = 1; b = 9; c = -6;
Δ = b2-4ac
Δ = 92-4·1·(-6)
Δ = 105
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{-(9)-\sqrt{105}}{2*1}=\frac{-9-\sqrt{105}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{105}}{2*1}=\frac{-9+\sqrt{105}}{2}
$