X2-55x+750=0

Solution for X2-55x+750=0 equation:

X2-55X+750=0

We add all the numbers together, and all the variables

X^2-55X+750=0

a = 1; b = -55; c = +750;
Δ = b2-4ac
Δ = -552-4·1·750
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-55)-5}{2*1}=\frac{50}{2}
=25
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-55)+5}{2*1}=\frac{60}{2}
=30
$