4x^2+61x-98=0

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Solution for 4x^2+61x-98=0 equation:



4x^2+61x-98=0
a = 4; b = 61; c = -98;
Δ = b2-4ac
Δ = 612-4·4·(-98)
Δ = 5289
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{-(61)-\sqrt{5289}}{2*4}=\frac{-61-\sqrt{5289}}{8} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(61)+\sqrt{5289}}{2*4}=\frac{-61+\sqrt{5289}}{8} $

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