4y^2+y-66=0

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Solution for 4y^2+y-66=0 equation:



4y^2+y-66=0
a = 4; b = 1; c = -66;
Δ = b2-4ac
Δ = 12-4·4·(-66)
Δ = 1057
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-\sqrt{1057}}{2*4}=\frac{-1-\sqrt{1057}}{8} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{1057}}{2*4}=\frac{-1+\sqrt{1057}}{8} $

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