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44.5x^2=87.2
We move all terms to the left:
44.5x^2-(87.2)=0
We add all the numbers together, and all the variables
44.5x^2-87.2=0
a = 44.5; b = 0; c = -87.2;
Δ = b2-4ac
Δ = 02-4·44.5·(-87.2)
Δ = 15521.6
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{15521.6}}{2*44.5}=\frac{0-\sqrt{15521.6}}{89} =-\frac{\sqrt{}}{89} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{15521.6}}{2*44.5}=\frac{0+\sqrt{15521.6}}{89} =\frac{\sqrt{}}{89} $
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