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5=(0.5)x(2.0)
We move all terms to the left:
5-((0.5)x(2.0))=0
We add all the numbers together, and all the variables
-((0.5)x2)+5=0
We calculate terms in parentheses: -((0.5)x2), so:We get rid of parentheses
(0.5)x2
We multiply parentheses
0.5x^2
Back to the equation:
-(0.5x^2)
-0.5x^2+5=0
a = -0.5; b = 0; c = +5;
Δ = b2-4ac
Δ = 02-4·(-0.5)·5
Δ = 10
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{10}}{2*-0.5}=\frac{0-\sqrt{10}}{-1} =-\frac{\sqrt{}}{-1} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{10}}{2*-0.5}=\frac{0+\sqrt{10}}{-1} =\frac{\sqrt{}}{-1} $
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