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x2=90.25
We move all terms to the left:
x2-(90.25)=0
We add all the numbers together, and all the variables
x^2-90.25=0
a = 1; b = 0; c = -90.25;
Δ = b2-4ac
Δ = 02-4·1·(-90.25)
Δ = 361
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{361}=19$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-19}{2*1}=\frac{-19}{2} =-9+1/2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+19}{2*1}=\frac{19}{2} =9+1/2 $
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