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.14x^2-2=5
We move all terms to the left:
.14x^2-2-(5)=0
We add all the numbers together, and all the variables
.14x^2-7=0
a = .14; b = 0; c = -7;
Δ = b2-4ac
Δ = 02-4·.14·(-7)
Δ = 3.92
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{3.92}}{2*.14}=\frac{0-\sqrt{3.92}}{0.28} =-\frac{\sqrt{}}{0.28} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.92}}{2*.14}=\frac{0+\sqrt{3.92}}{0.28} =\frac{\sqrt{}}{0.28} $
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