y^2-y-240=0

Solution for y^2-y-240=0 equation:

y^2-y-240=0

We add all the numbers together, and all the variables

y^2-1y-240=0

a = 1; b = -1; c = -240;
Δ = b2-4ac
Δ = -12-4·1·(-240)
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-31}{2*1}=\frac{-30}{2}
=-15
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+31}{2*1}=\frac{32}{2}
=16
$