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0.12=-0.12x^2+6
We move all terms to the left:
0.12-(-0.12x^2+6)=0
We get rid of parentheses
0.12x^2-6+0.12=0
We add all the numbers together, and all the variables
0.12x^2-5.88=0
a = 0.12; b = 0; c = -5.88;
Δ = b2-4ac
Δ = 02-4·0.12·(-5.88)
Δ = 2.8224
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{2.8224}}{2*0.12}=\frac{0-\sqrt{2.8224}}{0.24} =-\frac{\sqrt{}}{0.24} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{2.8224}}{2*0.12}=\frac{0+\sqrt{2.8224}}{0.24} =\frac{\sqrt{}}{0.24} $
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