p2-3p-56=0

Solution for p2-3p-56=0 equation:

p2-3p-56=0

We add all the numbers together, and all the variables

p^2-3p-56=0

a = 1; b = -3; c = -56;
Δ = b2-4ac
Δ = -32-4·1·(-56)
Δ = 233
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-\sqrt{233}}{2*1}=\frac{3-\sqrt{233}}{2}
$
$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+\sqrt{233}}{2*1}=\frac{3+\sqrt{233}}{2}
$