y2+5y-7=0

Solution for y2+5y-7=0 equation:

y2+5y-7=0

We add all the numbers together, and all the variables

y^2+5y-7=0

a = 1; b = 5; c = -7;
Δ = b2-4ac
Δ = 52-4·1·(-7)
Δ = 53
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-\sqrt{53}}{2*1}=\frac{-5-\sqrt{53}}{2}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+\sqrt{53}}{2*1}=\frac{-5+\sqrt{53}}{2}
$