7x2-15x+6=0

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Solution for 7x2-15x+6=0 equation: 



7x^2-15x+6=0

a = 7; b = -15; c = +6;
Δ = b2-4ac
Δ = -152-4·7·6
Δ = 57
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{-(-15)-\sqrt{57}}{2*7}=\frac{15-\sqrt{57}}{14}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-15)+\sqrt{57}}{2*7}=\frac{15+\sqrt{57}}{14}
$

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