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X2-60=30-X
We move all terms to the left:
X2-60-(30-X)=0
We add all the numbers together, and all the variables
X2-(-1X+30)-60=0
We add all the numbers together, and all the variables
X^2-(-1X+30)-60=0
We get rid of parentheses
X^2+1X-30-60=0
We add all the numbers together, and all the variables
X^2+X-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$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-19}{2*1}=\frac{-20}{2} =-10 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+19}{2*1}=\frac{18}{2} =9 $
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