4b+6b^2-10=0

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Solution for 4b+6b^2-10=0 equation:



4b+6b^2-10=0
a = 6; b = 4; c = -10;
Δ = b2-4ac
Δ = 42-4·6·(-10)
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(4)-16}{2*6}=\frac{-20}{12} =-1+2/3 $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(4)+16}{2*6}=\frac{12}{12} =1 $

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