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0=-36x^2+144
We move all terms to the left:
0-(-36x^2+144)=0
We add all the numbers together, and all the variables
-(-36x^2+144)=0
We get rid of parentheses
36x^2-144=0
a = 36; b = 0; c = -144;
Δ = b2-4ac
Δ = 02-4·36·(-144)
Δ = 20736
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{20736}=144$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-144}{2*36}=\frac{-144}{72} =-2 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+144}{2*36}=\frac{144}{72} =2 $
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