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6p^2-3p-45=0
a = 6; b = -3; c = -45;
Δ = b2-4ac
Δ = -32-4·6·(-45)
Δ = 1089
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{1089}=33$$p_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-33}{2*6}=\frac{-30}{12} =-2+1/2 $$p_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+33}{2*6}=\frac{36}{12} =3 $
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