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x2=121/400
We move all terms to the left:
x2-(121/400)=0
We add all the numbers together, and all the variables
x2-(+121/400)=0
We add all the numbers together, and all the variables
x^2-(+121/400)=0
We get rid of parentheses
x^2-121/400=0
We multiply all the terms by the denominator
x^2*400-121=0
Wy multiply elements
400x^2-121=0
a = 400; b = 0; c = -121;
Δ = b2-4ac
Δ = 02-4·400·(-121)
Δ = 193600
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{193600}=440$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-440}{2*400}=\frac{-440}{800} =-11/20 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+440}{2*400}=\frac{440}{800} =11/20 $
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