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27-2x*17-2x*x=
We move all terms to the left:
27-2x*17-2x*x-()=0
We add all the numbers together, and all the variables
-2x*17-2x*x=0
Wy multiply elements
-2x^2-34x=0
a = -2; b = -34; c = 0;
Δ = b2-4ac
Δ = -342-4·(-2)·0
Δ = 1156
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{1156}=34$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-34)-34}{2*-2}=\frac{0}{-4} =0 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-34)+34}{2*-2}=\frac{68}{-4} =-17 $
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