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4x^2-79x+357=0
a = 4; b = -79; c = +357;
Δ = b2-4ac
Δ = -792-4·4·357
Δ = 529
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{529}=23$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-79)-23}{2*4}=\frac{56}{8} =7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-79)+23}{2*4}=\frac{102}{8} =12+3/4 $
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