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x^2=9/100
We move all terms to the left:
x^2-(9/100)=0
We add all the numbers together, and all the variables
x^2-(+9/100)=0
We get rid of parentheses
x^2-9/100=0
We multiply all the terms by the denominator
x^2*100-9=0
Wy multiply elements
100x^2-9=0
a = 100; b = 0; c = -9;
Δ = b2-4ac
Δ = 02-4·100·(-9)
Δ = 3600
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{3600}=60$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-60}{2*100}=\frac{-60}{200} =-3/10 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+60}{2*100}=\frac{60}{200} =3/10 $
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