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9x+15=8x^2=31
We move all terms to the left:
9x+15-(8x^2)=0
determiningTheFunctionDomain -8x^2+9x+15=0
a = -8; b = 9; c = +15;
Δ = b2-4ac
Δ = 92-4·(-8)·15
Δ = 561
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(9)-\sqrt{561}}{2*-8}=\frac{-9-\sqrt{561}}{-16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{561}}{2*-8}=\frac{-9+\sqrt{561}}{-16} $
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