10x2-101x+136=0

Solution for 10x2-101x+136=0 equation:

10x^2-101x+136=0

a = 10; b = -101; c = +136;
Δ = b2-4ac
Δ = -1012-4·10·136
Δ = 4761
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{4761}=69$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-101)-69}{2*10}=\frac{32}{20}
=1+3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-101)+69}{2*10}=\frac{170}{20}
=8+1/2
$