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7x^2-27x-310=0
a = 7; b = -27; c = -310;
Δ = b2-4ac
Δ = -272-4·7·(-310)
Δ = 9409
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{9409}=97$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-27)-97}{2*7}=\frac{-70}{14} =-5 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-27)+97}{2*7}=\frac{124}{14} =8+6/7 $
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