112,78=x^2-10x

Solution for 112,78=x^2-10x equation:

112.78=x^2-10x

We move all terms to the left:

112.78-(x^2-10x)=0

We get rid of parentheses

-x^2+10x+112.78=0

We add all the numbers together, and all the variables

-1x^2+10x+112.78=0

a = -1; b = 10; c = +112.78;
Δ = b2-4ac
Δ = 102-4·(-1)·112.78
Δ = 551.12
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{-(10)-\sqrt{551.12}}{2*-1}=\frac{-10-\sqrt{551.12}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(10)+\sqrt{551.12}}{2*-1}=\frac{-10+\sqrt{551.12}}{-2}
$