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.30x^2=18.50
We move all terms to the left:
.30x^2-(18.50)=0
We add all the numbers together, and all the variables
.30x^2-(18.5)=0
We add all the numbers together, and all the variables
.30x^2-18.5=0
a = .30; b = 0; c = -18.5;
Δ = b2-4ac
Δ = 02-4·.30·(-18.5)
Δ = 22.2
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{22.2}}{2*.30}=\frac{0-\sqrt{22.2}}{0.6} =-\frac{\sqrt{}}{0.6} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{22.2}}{2*.30}=\frac{0+\sqrt{22.2}}{0.6} =\frac{\sqrt{}}{0.6} $
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