-8.4375+1.875y+3.375y^2=0

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Solution for -8.4375+1.875y+3.375y^2=0 equation: 



-8.4375+1.875y+3.375y^2=0

a = 3.375; b = 1.875; c = -8.4375;
Δ = b2-4ac
Δ = 1.8752-4·3.375·(-8.4375)
Δ = 117.421875
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{-(1.875)-\sqrt{117.421875}}{2*3.375}=\frac{-1.875-\sqrt{117.421875}}{6.75}
$


$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1.875)+\sqrt{117.421875}}{2*3.375}=\frac{-1.875+\sqrt{117.421875}}{6.75}
$

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