4q^2+3q-8=0

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Solution for 4q^2+3q-8=0 equation: 



4q^2+3q-8=0

a = 4; b = 3; c = -8;
Δ = b2-4ac
Δ = 32-4·4·(-8)
Δ = 137
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$q_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-\sqrt{137}}{2*4}=\frac{-3-\sqrt{137}}{8}
$


$q_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+\sqrt{137}}{2*4}=\frac{-3+\sqrt{137}}{8}
$

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