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4x*x=1/4*10000
We move all terms to the left:
4x*x-(1/4*10000)=0
We add all the numbers together, and all the variables
4x*x-(+1/4*10000)=0
Wy multiply elements
4x^2-(+1/4*10000)=0
We get rid of parentheses
4x^2-1/4*10000=0
We multiply all the terms by the denominator
4x^2*4*10000-1=0
Wy multiply elements
160000x^2*1-1=0
Wy multiply elements
160000x^2-1=0
a = 160000; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·160000·(-1)
Δ = 640000
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}$$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$$\sqrt{\Delta}=\sqrt{640000}=800$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-800}{2*160000}=\frac{-800}{320000} =-1/400 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+800}{2*160000}=\frac{800}{320000} =1/400 $
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