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4x^2+31x+15=0
a = 4; b = 31; c = +15;
Δ = b2-4ac
Δ = 312-4·4·15
Δ = 721
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{-(31)-\sqrt{721}}{2*4}=\frac{-31-\sqrt{721}}{8} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(31)+\sqrt{721}}{2*4}=\frac{-31+\sqrt{721}}{8} $
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