X^2-7.5x=17

Solution for X^2-7.5x=17 equation:

X^2-7.5X=17

We move all terms to the left:

X^2-7.5X-(17)=0

a = 1; b = -7.5; c = -17;
Δ = b2-4ac
Δ = -7.52-4·1·(-17)
Δ = 124.25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-7.5)-\sqrt{124.25}}{2*1}=\frac{7.5-\sqrt{124.25}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7.5)+\sqrt{124.25}}{2*1}=\frac{7.5+\sqrt{124.25}}{2}
$