7x-8+2x^2=0

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Solution for 7x-8+2x^2=0 equation: 



7x-8+2x^2=0

a = 2; b = 7; c = -8;
Δ = b2-4ac
Δ = 72-4·2·(-8)
Δ = 113
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{113}}{2*2}=\frac{-7-\sqrt{113}}{4}
$


$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{113}}{2*2}=\frac{-7+\sqrt{113}}{4}
$

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