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7x^2+33x+30=0
a = 7; b = 33; c = +30;
Δ = b2-4ac
Δ = 332-4·7·30
Δ = 249
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{-(33)-\sqrt{249}}{2*7}=\frac{-33-\sqrt{249}}{14} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+\sqrt{249}}{2*7}=\frac{-33+\sqrt{249}}{14} $
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