7x^2=1/28

Solution for 7x^2=1/28 equation:

7x^2=1/28

We move all terms to the left:

7x^2-(1/28)=0

We add all the numbers together, and all the variables

7x^2-(+1/28)=0

We get rid of parentheses

7x^2-1/28=0

We multiply all the terms by the denominator


7x^2*28-1=0

Wy multiply elements

196x^2-1=0

a = 196; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·196·(-1)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-28}{2*196}=\frac{-28}{392}
=-1/14
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+28}{2*196}=\frac{28}{392}
=1/14
$