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5x^2=1/20

We move all terms to the left:

5x^2-(1/20)=0

We add all the numbers together, and all the variables

5x^2-(+1/20)=0

We get rid of parentheses

5x^2-1/20=0

We multiply all the terms by the denominator

5x^2*20-1=0

Wy multiply elements

100x^2-1=0

a = 100; b = 0; c = -1;

Δ = b^{2}-4ac

Δ = 0^{2}-4·100·(-1)

Δ = 400

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{400}=20$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-20}{2*100}=\frac{-20}{200} =-1/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+20}{2*100}=\frac{20}{200} =1/10 $

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