X2-25x+152=0

Solution for X2-25x+152=0 equation:

X2-25X+152=0

We add all the numbers together, and all the variables

X^2-25X+152=0

a = 1; b = -25; c = +152;
Δ = b2-4ac
Δ = -252-4·1·152
Δ = 17
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{-(-25)-\sqrt{17}}{2*1}=\frac{25-\sqrt{17}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{17}}{2*1}=\frac{25+\sqrt{17}}{2}
$