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x2=49/625
We move all terms to the left:
x2-(49/625)=0
We add all the numbers together, and all the variables
x2-(+49/625)=0
We add all the numbers together, and all the variables
x^2-(+49/625)=0
We get rid of parentheses
x^2-49/625=0
We multiply all the terms by the denominator
x^2*625-49=0
Wy multiply elements
625x^2-49=0
a = 625; b = 0; c = -49;
Δ = b2-4ac
Δ = 02-4·625·(-49)
Δ = 122500
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{122500}=350$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-350}{2*625}=\frac{-350}{1250} =-7/25 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+350}{2*625}=\frac{350}{1250} =7/25 $
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