0=1/7x^2-7

Solution for 0=1/7x^2-7 equation:

0=1/7x^2-7

We move all terms to the left:

0-(1/7x^2-7)=0


Domain of the equation: 7x^2-7)!=0

x∈R


We add all the numbers together, and all the variables

-(1/7x^2-7)=0

We get rid of parentheses

-1/7x^2+7=0

We multiply all the terms by the denominator


7*7x^2-1=0

Wy multiply elements

49x^2-1=0

a = 49; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·49·(-1)
Δ = 196
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{196}=14$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-14}{2*49}=\frac{-14}{98}
=-1/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+14}{2*49}=\frac{14}{98}
=1/7
$