7x^2+13x-60=0

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Solution for 7x^2+13x-60=0 equation:



7x^2+13x-60=0
a = 7; b = 13; c = -60;
Δ = b2-4ac
Δ = 132-4·7·(-60)
Δ = 1849
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1849}=43$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-43}{2*7}=\frac{-56}{14} =-4 $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+43}{2*7}=\frac{30}{14} =2+1/7 $

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