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.33x^2-7=43
We move all terms to the left:
.33x^2-7-(43)=0
We add all the numbers together, and all the variables
.33x^2-50=0
a = .33; b = 0; c = -50;
Δ = b2-4ac
Δ = 02-4·.33·(-50)
Δ = 66
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{66}}{2*.33}=\frac{0-\sqrt{66}}{0.66} =-\frac{\sqrt{}}{0.66} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{66}}{2*.33}=\frac{0+\sqrt{66}}{0.66} =\frac{\sqrt{}}{0.66} $
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