9+5*5=7+x*x

Solution for 9+5*5=7+x*x equation:

9+5*5=7+x*x

We move all terms to the left:

9+5*5-(7+x*x)=0

We add all the numbers together, and all the variables

-(x*x+7)+9+5*5=0

We add all the numbers together, and all the variables

-(x*x+7)+34=0

We get rid of parentheses

-x*x-7+34=0

We add all the numbers together, and all the variables

-x*x+27=0

Wy multiply elements

-1x^2+27=0

a = -1; b = 0; c = +27;
Δ = b2-4ac
Δ = 02-4·(-1)·27
Δ = 108
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{108}=\sqrt{36*3}=\sqrt{36}*\sqrt{3}=6\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-6\sqrt{3}}{2*-1}=\frac{0-6\sqrt{3}}{-2}
=-\frac{6\sqrt{3}}{-2}
=-\frac{3\sqrt{3}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+6\sqrt{3}}{2*-1}=\frac{0+6\sqrt{3}}{-2}
=\frac{6\sqrt{3}}{-2}
=\frac{3\sqrt{3}}{-1}
$