5b^2+25b-5=0

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Solution for 5b^2+25b-5=0 equation:



5b^2+25b-5=0
a = 5; b = 25; c = -5;
Δ = b2-4ac
Δ = 252-4·5·(-5)
Δ = 725
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:
$\sqrt{\Delta}=\sqrt{725}=\sqrt{25*29}=\sqrt{25}*\sqrt{29}=5\sqrt{29}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(25)-5\sqrt{29}}{2*5}=\frac{-25-5\sqrt{29}}{10} $
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(25)+5\sqrt{29}}{2*5}=\frac{-25+5\sqrt{29}}{10} $

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