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9x^2+88x+63=0
a = 9; b = 88; c = +63;
Δ = b2-4ac
Δ = 882-4·9·63
Δ = 5476
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{5476}=74$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(88)-74}{2*9}=\frac{-162}{18} =-9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(88)+74}{2*9}=\frac{-14}{18} =-7/9 $
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