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30x^2-9x-77=0
a = 30; b = -9; c = -77;
Δ = b2-4ac
Δ = -92-4·30·(-77)
Δ = 9321
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{9321}}{2*30}=\frac{9-\sqrt{9321}}{60} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9)+\sqrt{9321}}{2*30}=\frac{9+\sqrt{9321}}{60} $
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