5x^2-10x+50=82.7

Solution for 5x^2-10x+50=82.7 equation:

5x^2-10x+50=82.7

We move all terms to the left:

5x^2-10x+50-(82.7)=0

We add all the numbers together, and all the variables

5x^2-10x-32.7=0

a = 5; b = -10; c = -32.7;
Δ = b2-4ac
Δ = -102-4·5·(-32.7)
Δ = 754
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{754}}{2*5}=\frac{10-\sqrt{754}}{10}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-10)+\sqrt{754}}{2*5}=\frac{10+\sqrt{754}}{10}
$