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4x^2-161x+735=0
a = 4; b = -161; c = +735;
Δ = b2-4ac
Δ = -1612-4·4·735
Δ = 14161
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{14161}=119$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-161)-119}{2*4}=\frac{42}{8} =5+1/4 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-161)+119}{2*4}=\frac{280}{8} =35 $
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