9x2=4-6x-8x2-11x

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Solution for 9x2=4-6x-8x2-11x equation:



9x^2=4-6x-8x^2-11x
We move all terms to the left:
9x^2-(4-6x-8x^2-11x)=0
We get rid of parentheses
9x^2+8x^2+6x+11x-4=0
We add all the numbers together, and all the variables
17x^2+17x-4=0
a = 17; b = 17; c = -4;
Δ = b2-4ac
Δ = 172-4·17·(-4)
Δ = 561
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{561}}{2*17}=\frac{-17-\sqrt{561}}{34} $
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(17)+\sqrt{561}}{2*17}=\frac{-17+\sqrt{561}}{34} $

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