155=x2/5-10

Solution for 155=x2/5-10 equation:

155=x2/5-10

We move all terms to the left:

155-(x2/5-10)=0

We get rid of parentheses

-x2/5+10+155=0

We multiply all the terms by the denominator


-x2+10*5+155*5=0

We add all the numbers together, and all the variables

-1x^2+825=0

a = -1; b = 0; c = +825;
Δ = b2-4ac
Δ = 02-4·(-1)·825
Δ = 3300
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:

$\sqrt{\Delta}=\sqrt{3300}=\sqrt{100*33}=\sqrt{100}*\sqrt{33}=10\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-10\sqrt{33}}{2*-1}=\frac{0-10\sqrt{33}}{-2}
=-\frac{10\sqrt{33}}{-2}
=-\frac{5\sqrt{33}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+10\sqrt{33}}{2*-1}=\frac{0+10\sqrt{33}}{-2}
=\frac{10\sqrt{33}}{-2}
=\frac{5\sqrt{33}}{-1}
$