2y^2-14-7y=0

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Solution for 2y^2-14-7y=0 equation:



2y^2-14-7y=0
a = 2; b = -7; c = -14;
Δ = b2-4ac
Δ = -72-4·2·(-14)
Δ = 161
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{-(-7)-\sqrt{161}}{2*2}=\frac{7-\sqrt{161}}{4} $
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-7)+\sqrt{161}}{2*2}=\frac{7+\sqrt{161}}{4} $

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