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(x)=9x^2-18x
We move all terms to the left:
(x)-(9x^2-18x)=0
We get rid of parentheses
-9x^2+x+18x=0
We add all the numbers together, and all the variables
-9x^2+19x=0
a = -9; b = 19; c = 0;
Δ = b2-4ac
Δ = 192-4·(-9)·0
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$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(19)-19}{2*-9}=\frac{-38}{-18} =2+1/9 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(19)+19}{2*-9}=\frac{0}{-18} =0 $
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