x2=3x/5

Solution for x2=3x/5 equation:

x2=3x/5

We move all terms to the left:

x2-(3x/5)=0

We add all the numbers together, and all the variables

x2-(+3x/5)=0

We add all the numbers together, and all the variables

x^2-(+3x/5)=0

We get rid of parentheses

x^2-3x/5=0

We multiply all the terms by the denominator


x^2*5-3x=0

Wy multiply elements

5x^2-3x=0

a = 5; b = -3; c = 0;
Δ = b2-4ac
Δ = -32-4·5·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3)-3}{2*5}=\frac{0}{10}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3)+3}{2*5}=\frac{6}{10}
=3/5
$