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7x^2-159x+252=0
a = 7; b = -159; c = +252;
Δ = b2-4ac
Δ = -1592-4·7·252
Δ = 18225
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{18225}=135$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-159)-135}{2*7}=\frac{24}{14} =1+5/7 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-159)+135}{2*7}=\frac{294}{14} =21 $
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