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x^2+7x+17=9
We move all terms to the left:
x^2+7x+17-(9)=0
We add all the numbers together, and all the variables
x^2+7x+8=0
a = 1; b = 7; c = +8;
Δ = b2-4ac
Δ = 72-4·1·8
Δ = 17
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{17}}{2*1}=\frac{-7-\sqrt{17}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(7)+\sqrt{17}}{2*1}=\frac{-7+\sqrt{17}}{2} $
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