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x^2=25/529
We move all terms to the left:
x^2-(25/529)=0
We add all the numbers together, and all the variables
x^2-(+25/529)=0
We get rid of parentheses
x^2-25/529=0
We multiply all the terms by the denominator
x^2*529-25=0
Wy multiply elements
529x^2-25=0
a = 529; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·529·(-25)
Δ = 52900
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{52900}=230$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-230}{2*529}=\frac{-230}{1058} =-5/23 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+230}{2*529}=\frac{230}{1058} =5/23 $
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