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9.36x^2=18.72
We move all terms to the left:
9.36x^2-(18.72)=0
We add all the numbers together, and all the variables
9.36x^2-18.72=0
a = 9.36; b = 0; c = -18.72;
Δ = b2-4ac
Δ = 02-4·9.36·(-18.72)
Δ = 700.8768
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{-(0)-\sqrt{700.8768}}{2*9.36}=\frac{0-\sqrt{700.8768}}{18.72} =-\frac{\sqrt{}}{18.72} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{700.8768}}{2*9.36}=\frac{0+\sqrt{700.8768}}{18.72} =\frac{\sqrt{}}{18.72} $
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