(9x-6)+(8.5x2)=180

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Solution for (9x-6)+(8.5x2)=180 equation:



(9x-6)+(8.5x^2)=180
We move all terms to the left:
(9x-6)+(8.5x^2)-(180)=0
We get rid of parentheses
8.5x^2+9x-6-180=0
We add all the numbers together, and all the variables
8.5x^2+9x-186=0
a = 8.5; b = 9; c = -186;
Δ = b2-4ac
Δ = 92-4·8.5·(-186)
Δ = 6405
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{-(9)-\sqrt{6405}}{2*8.5}=\frac{-9-\sqrt{6405}}{17} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(9)+\sqrt{6405}}{2*8.5}=\frac{-9+\sqrt{6405}}{17} $

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