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8p^2-88p+224=0
a = 8; b = -88; c = +224;
Δ = b2-4ac
Δ = -882-4·8·224
Δ = 576
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}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{576}=24$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-24}{2*8}=\frac{64}{16} =4 $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+24}{2*8}=\frac{112}{16} =7 $
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