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9p^2-87p+30=0
a = 9; b = -87; c = +30;
Δ = b2-4ac
Δ = -872-4·9·30
Δ = 6489
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}$$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}$
The end solution:
$\sqrt{\Delta}=\sqrt{6489}=\sqrt{9*721}=\sqrt{9}*\sqrt{721}=3\sqrt{721}$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-87)-3\sqrt{721}}{2*9}=\frac{87-3\sqrt{721}}{18} $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-87)+3\sqrt{721}}{2*9}=\frac{87+3\sqrt{721}}{18} $
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