13y^2-171y+26=O

Solution for 13y^2-171y+26=O equation:

13y^2-171y+26=

We move all terms to the left:

13y^2-171y+26-()=0

We add all the numbers together, and all the variables

13y^2-171y=0

a = 13; b = -171; c = 0;
Δ = b2-4ac
Δ = -1712-4·13·0
Δ = 29241
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{29241}=171$
$y_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-171)-171}{2*13}=\frac{0}{26}
=0
$
$y_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-171)+171}{2*13}=\frac{342}{26}
=13+2/13
$