h^2-7-h-15=0

Solution for h^2-7-h-15=0 equation:

h^2-7-h-15=0

We add all the numbers together, and all the variables

h^2-1h-22=0

a = 1; b = -1; c = -22;
Δ = b2-4ac
Δ = -12-4·1·(-22)
Δ = 89
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$h_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-\sqrt{89}}{2*1}=\frac{1-\sqrt{89}}{2}
$
$h_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+\sqrt{89}}{2*1}=\frac{1+\sqrt{89}}{2}
$