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0.25x+5=5+(1)/(4)x
We move all terms to the left:
0.25x+5-(5+(1)/(4)x)=0
Domain of the equation: 4x)!=0We add all the numbers together, and all the variables
x!=0/1
x!=0
x∈R
0.25x-(1/4x+5)+5=0
We get rid of parentheses
0.25x-1/4x-5+5=0
We multiply all the terms by the denominator
(0.25x)*4x-5*4x+5*4x-1=0
We add all the numbers together, and all the variables
(+0.25x)*4x-5*4x+5*4x-1=0
We multiply parentheses
0x^2-5*4x+5*4x-1=0
Wy multiply elements
0x^2-20x+20x-1=0
We add all the numbers together, and all the variables
x^2-1=0
a = 1; b = 0; c = -1;
Δ = b2-4ac
Δ = 02-4·1·(-1)
Δ = 4
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{4}=2$$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-2}{2*1}=\frac{-2}{2} =-1 $$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+2}{2*1}=\frac{2}{2} =1 $
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