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9x^2-2x-215=0
a = 9; b = -2; c = -215;
Δ = b2-4ac
Δ = -22-4·9·(-215)
Δ = 7744
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{7744}=88$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-88}{2*9}=\frac{-86}{18} =-4+7/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+88}{2*9}=\frac{90}{18} =5 $
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