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x2+22.52=142
We move all terms to the left:
x2+22.52-(142)=0
We add all the numbers together, and all the variables
x^2-119.48=0
a = 1; b = 0; c = -119.48;
Δ = b2-4ac
Δ = 02-4·1·(-119.48)
Δ = 477.92
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-\sqrt{477.92}}{2*1}=\frac{0-\sqrt{477.92}}{2} =-\frac{\sqrt{}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{477.92}}{2*1}=\frac{0+\sqrt{477.92}}{2} =\frac{\sqrt{}}{2} $
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