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x*0.5^x=0.99
We move all terms to the left:
x*0.5^x-(0.99)=0
We add all the numbers together, and all the variables
x*0.5^x-0.99=0
Wy multiply elements
0x^2-0.99=0
We add all the numbers together, and all the variables
x^2-0.99=0
a = 1; b = 0; c = -0.99;
Δ = b2-4ac
Δ = 02-4·1·(-0.99)
Δ = 3.96
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{3.96}}{2*1}=\frac{0-\sqrt{3.96}}{2} =-\frac{\sqrt{}}{2} $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+\sqrt{3.96}}{2*1}=\frac{0+\sqrt{3.96}}{2} =\frac{\sqrt{}}{2} $
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