10y^2-25y=3

Solution for 10y^2-25y=3 equation:

10y^2-25y=3

We move all terms to the left:

10y^2-25y-(3)=0

a = 10; b = -25; c = -3;
Δ = b2-4ac
Δ = -252-4·10·(-3)
Δ = 745
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{-(-25)-\sqrt{745}}{2*10}=\frac{25-\sqrt{745}}{20}
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+\sqrt{745}}{2*10}=\frac{25+\sqrt{745}}{20}
$