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x=-1x^2-6x+9
We move all terms to the left:
x-(-1x^2-6x+9)=0
We get rid of parentheses
1x^2+6x+x-9=0
We add all the numbers together, and all the variables
x^2+7x-9=0
a = 1; b = 7; c = -9;
Δ = b2-4ac
Δ = 72-4·1·(-9)
Δ = 85
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{-(7)-\sqrt{85}}{2*1}=\frac{-7-\sqrt{85}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{85}}{2*1}=\frac{-7+\sqrt{85}}{2} $
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