13x^2-8x+15/13=0

Solution for 13x^2-8x+15/13=0 equation:

13x^2-8x+15/13=0

We multiply all the terms by the denominator


13x^2*13-8x*13+15=0

Wy multiply elements

169x^2-104x+15=0

a = 169; b = -104; c = +15;
Δ = b2-4ac
Δ = -1042-4·169·15
Δ = 676
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{676}=26$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-104)-26}{2*169}=\frac{78}{338}
=3/13
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-104)+26}{2*169}=\frac{130}{338}
=5/13
$