2x^2=97x

Solution for 2x^2=97x equation:

2x^2=97x

We move all terms to the left:

2x^2-(97x)=0

a = 2; b = -97; c = 0;
Δ = b2-4ac
Δ = -972-4·2·0
Δ = 9409
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9409}=97$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-97)-97}{2*2}=\frac{0}{4}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-97)+97}{2*2}=\frac{194}{4}
=48+1/2
$