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4x^2+78x+360=0
a = 4; b = 78; c = +360;
Δ = b2-4ac
Δ = 782-4·4·360
Δ = 324
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{324}=18$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(78)-18}{2*4}=\frac{-96}{8} =-12 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(78)+18}{2*4}=\frac{-60}{8} =-7+1/2 $
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