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17x=10x*x+2
We move all terms to the left:
17x-(10x*x+2)=0
We get rid of parentheses
17x-10x*x-2=0
Wy multiply elements
-10x^2+17x-2=0
a = -10; b = 17; c = -2;
Δ = b2-4ac
Δ = 172-4·(-10)·(-2)
Δ = 209
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(17)-\sqrt{209}}{2*-10}=\frac{-17-\sqrt{209}}{-20} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{209}}{2*-10}=\frac{-17+\sqrt{209}}{-20} $
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