2.3x^2=9.7x

Solution for 2.3x^2=9.7x equation:

2.3x^2=9.7x

We move all terms to the left:

2.3x^2-(9.7x)=0

We add all the numbers together, and all the variables

2.3x^2-(+9.7x)=0

We get rid of parentheses

2.3x^2-9.7x=0

a = 2.3; b = -9.7; c = 0;
Δ = b2-4ac
Δ = -9.72-4·2.3·0
Δ = 94.09
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-9.7)-\sqrt{94.09}}{2*2.3}=\frac{9.7-\sqrt{94.09}}{4.6}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-9.7)+\sqrt{94.09}}{2*2.3}=\frac{9.7+\sqrt{94.09}}{4.6}
$