10x^2-15x-17/5=0

Solution for 10x^2-15x-17/5=0 equation:

10x^2-15x-17/5=0

We multiply all the terms by the denominator


10x^2*5-15x*5-17=0

Wy multiply elements

50x^2-75x-17=0

a = 50; b = -75; c = -17;
Δ = b2-4ac
Δ = -752-4·50·(-17)
Δ = 9025
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9025}=95$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-75)-95}{2*50}=\frac{-20}{100}
=-1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-75)+95}{2*50}=\frac{170}{100}
=1+7/10
$