x=(x^2)/7

Solution for x=(x^2)/7 equation:

x=(x^2)/7

We move all terms to the left:

x-((x^2)/7)=0

We get rid of parentheses

-x^2/7+x=0

We multiply all the terms by the denominator


-x^2+x*7=0

We add all the numbers together, and all the variables

-1x^2+x*7=0

Wy multiply elements

-1x^2+7x=0

a = -1; b = 7; c = 0;
Δ = b2-4ac
Δ = 72-4·(-1)·0
Δ = 49
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{49}=7$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(7)-7}{2*-1}=\frac{-14}{-2}
=+7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+7}{2*-1}=\frac{0}{-2}
=0
$