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x2=25/256
We move all terms to the left:
x2-(25/256)=0
We add all the numbers together, and all the variables
x2-(+25/256)=0
We add all the numbers together, and all the variables
x^2-(+25/256)=0
We get rid of parentheses
x^2-25/256=0
We multiply all the terms by the denominator
x^2*256-25=0
Wy multiply elements
256x^2-25=0
a = 256; b = 0; c = -25;
Δ = b2-4ac
Δ = 02-4·256·(-25)
Δ = 25600
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{25600}=160$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-160}{2*256}=\frac{-160}{512} =-5/16 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+160}{2*256}=\frac{160}{512} =5/16 $
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