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7a^2+33a+20=0
a = 7; b = 33; c = +20;
Δ = b2-4ac
Δ = 332-4·7·20
Δ = 529
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{529}=23$$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(33)-23}{2*7}=\frac{-56}{14} =-4 $$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(33)+23}{2*7}=\frac{-10}{14} =-5/7 $
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