X2-25x+150=0

Solution for X2-25x+150=0 equation:

X2-25X+150=0

We add all the numbers together, and all the variables

X^2-25X+150=0

a = 1; b = -25; c = +150;
Δ = b2-4ac
Δ = -252-4·1·150
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{-(-25)-5}{2*1}=\frac{20}{2}
=10
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+5}{2*1}=\frac{30}{2}
=15
$