7x^2-60x+77=0

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Solution for 7x^2-60x+77=0 equation: 



7x^2-60x+77=0

a = 7; b = -60; c = +77;
Δ = b2-4ac
Δ = -602-4·7·77
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$


$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-60)-38}{2*7}=\frac{22}{14}
=1+4/7
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-60)+38}{2*7}=\frac{98}{14}
=7
$

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