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5x^2+7x-120=0
a = 5; b = 7; c = -120;
Δ = b2-4ac
Δ = 72-4·5·(-120)
Δ = 2449
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-\sqrt{2449}}{2*5}=\frac{-7-\sqrt{2449}}{10} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{2449}}{2*5}=\frac{-7+\sqrt{2449}}{10} $
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