13x=35x2

Solution for 13x=35x2 equation:

13x=35x^2

We move all terms to the left:

13x-(35x^2)=0

determiningTheFunctionDomain
-35x^2+13x=0

a = -35; b = 13; c = 0;
Δ = b2-4ac
Δ = 132-4·(-35)·0
Δ = 169
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{169}=13$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(13)-13}{2*-35}=\frac{-26}{-70}
=13/35
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(13)+13}{2*-35}=\frac{0}{-70}
=0
$