x2-87x+53=0

Solution for x2-87x+53=0 equation:

x2-87x+53=0

We add all the numbers together, and all the variables

x^2-87x+53=0

a = 1; b = -87; c = +53;
Δ = b2-4ac
Δ = -872-4·1·53
Δ = 7357
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{-(-87)-\sqrt{7357}}{2*1}=\frac{87-\sqrt{7357}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-87)+\sqrt{7357}}{2*1}=\frac{87+\sqrt{7357}}{2}
$