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x2=1x+90
We move all terms to the left:
x2-(1x+90)=0
We add all the numbers together, and all the variables
x2-(x+90)=0
We add all the numbers together, and all the variables
x^2-(x+90)=0
We get rid of parentheses
x^2-x-90=0
We add all the numbers together, and all the variables
x^2-1x-90=0
a = 1; b = -1; c = -90;
Δ = b2-4ac
Δ = -12-4·1·(-90)
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-19}{2*1}=\frac{-18}{2} =-9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+19}{2*1}=\frac{20}{2} =10 $
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