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9x^2+x+1=187
We move all terms to the left:
9x^2+x+1-(187)=0
We add all the numbers together, and all the variables
9x^2+x-186=0
a = 9; b = 1; c = -186;
Δ = b2-4ac
Δ = 12-4·9·(-186)
Δ = 6697
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{-(1)-\sqrt{6697}}{2*9}=\frac{-1-\sqrt{6697}}{18} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(1)+\sqrt{6697}}{2*9}=\frac{-1+\sqrt{6697}}{18} $
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