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X=8.7X^2
We move all terms to the left:
X-(8.7X^2)=0
We get rid of parentheses
-8.7X^2+X=0
a = -8.7; b = 1; c = 0;
Δ = b2-4ac
Δ = 12-4·(-8.7)·0
Δ = 1
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{1}=1$$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(1)-1}{2*-8.7}=\frac{-2}{-17.4} =2/17.4 $$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+1}{2*-8.7}=\frac{0}{-17.4} =0 $
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