Sqrt(x-2*Sqrt(x-1))+Sqrt(x+2*Sqrt(x-1))=2

Simple and best practice solution for Sqrt(x-2*Sqrt(x-1))+Sqrt(x+2*Sqrt(x-1))=2 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for Sqrt(x-2*Sqrt(x-1))+Sqrt(x+2*Sqrt(x-1))=2 equation: 


Simplifying
Sqrt(x + -2Sqrt(x + -1)) + Sqrt(x + 2Sqrt(x + -1)) = 2

Reorder the terms:
qrtS(x + -2qrtS(-1 + x)) + Sqrt(x + 2Sqrt(x + -1)) = 2
qrtS(x + (-1 * -2qrtS + x * -2qrtS)) + Sqrt(x + 2Sqrt(x + -1)) = 2
qrtS(x + (2qrtS + -2qrtxS)) + Sqrt(x + 2Sqrt(x + -1)) = 2

Reorder the terms:
qrtS(2qrtS + -2qrtxS + x) + Sqrt(x + 2Sqrt(x + -1)) = 2
(2qrtS * qrtS + -2qrtxS * qrtS + x * qrtS) + Sqrt(x + 2Sqrt(x + -1)) = 2

Reorder the terms:
(qrtxS + 2q2r2t2S2 + -2q2r2t2xS2) + Sqrt(x + 2Sqrt(x + -1)) = 2
(qrtxS + 2q2r2t2S2 + -2q2r2t2xS2) + Sqrt(x + 2Sqrt(x + -1)) = 2

Reorder the terms:
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + qrtS(x + 2qrtS(-1 + x)) = 2
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + qrtS(x + (-1 * 2qrtS + x * 2qrtS)) = 2
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + qrtS(x + (-2qrtS + 2qrtxS)) = 2

Reorder the terms:
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + qrtS(-2qrtS + 2qrtxS + x) = 2
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + (-2qrtS * qrtS + 2qrtxS * qrtS + x * qrtS) = 2

Reorder the terms:
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + (qrtxS + -2q2r2t2S2 + 2q2r2t2xS2) = 2
qrtxS + 2q2r2t2S2 + -2q2r2t2xS2 + (qrtxS + -2q2r2t2S2 + 2q2r2t2xS2) = 2

Reorder the terms:
qrtxS + qrtxS + 2q2r2t2S2 + -2q2r2t2S2 + -2q2r2t2xS2 + 2q2r2t2xS2 = 2

Combine like terms: qrtxS + qrtxS = 2qrtxS
2qrtxS + 2q2r2t2S2 + -2q2r2t2S2 + -2q2r2t2xS2 + 2q2r2t2xS2 = 2

Combine like terms: 2q2r2t2S2 + -2q2r2t2S2 = 0
2qrtxS + 0 + -2q2r2t2xS2 + 2q2r2t2xS2 = 2
2qrtxS + -2q2r2t2xS2 + 2q2r2t2xS2 = 2

Combine like terms: -2q2r2t2xS2 + 2q2r2t2xS2 = 0
2qrtxS + 0 = 2
2qrtxS = 2

Solving
2qrtxS = 2

Solving for variable 'q'.

Move all terms containing q to the left, all other terms to the right.

Divide each side by '2rtxS'.
q = r-1t-1x-1S-1

Simplifying
q = r-1t-1x-1S-1

See similar equations:

| 24x+72=36x-16 | | M+86=107 | | x^2+y^2-6x+4y-4=0 | | 3*b-2=3+2*b | | 4*a+2=2*a+10 | | x-5=2(x+6) | | y=x^3+17x+12 | | 5(x-1)-6=3x-9 | | (4x+12)*7=0 | | 4x^3-x^2-48x+12=0 | | 9sin^4x=1 | | 3*tan(3x)=0 | | x+(x*0.18)=5000 | | X/44=14/11 | | Qp*qp=17*17-8*8 | | x^3-32=16x-2x^2 | | 2+2+2+2x*0+2= | | H(t)=-16t^2+14t+3 | | -12+4=-7x-16 | | -12+4=-17-6 | | 4(4x+5)=36 | | 67x+57x-6x=5 | | -14=42-7a | | X-.30=200 | | -30+5b=15 | | 36(2/9x-3/4) | | -88=-77+11r | | x^4+6x^3+4x^2+6x-5=0 | | -56=7s-63 | | 9x-9=4x+6 | | 3y-7(x-2)=15 | | x^4-4x^3+2x^2+5x-7=200 |

Equations solver categories