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7x+9=8x^2
We move all terms to the left:
7x+9-(8x^2)=0
determiningTheFunctionDomain -8x^2+7x+9=0
a = -8; b = 7; c = +9;
Δ = b2-4ac
Δ = 72-4·(-8)·9
Δ = 337
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{-(7)-\sqrt{337}}{2*-8}=\frac{-7-\sqrt{337}}{-16} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{337}}{2*-8}=\frac{-7+\sqrt{337}}{-16} $
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