Solve for x sqrt2x 3 sqrtx 2 1Solutionsqrt2x 3 sqrtx

Solve for x: sqrt(2x - 3) - sqrt(x - 2) = 1

sqrt(2x - 3) - sqrt(x - 2) = 1

Taking square of both sides:

{sqrt(2x - 3) - sqrt(x - 2) }^2 = 1^2

(2x-3) + (x -2) - 2sqrt(2x-3(x-2) =1

3x -6 - 2sqrt(2x-3(x-2) =0

Now rewriting: (3x-6) = 2sqrt(2x-3(x-2)

Squaring both sides: (3x-6)^2 = 4(2x-3)(x-2)

9x^2 + 36 - 36x = 4( 2x^2 -4x -3x +6)

9x^2 + 36 - 36x = 8x^2 - 28x +24

x^2 -8x +12 =0

Solve by factorisation : x^2 -6x -2x +12 =0

x( x-6) -2(x-6) =0

(x-2)(x-6) =0

x = 2 , 6 ( Solution)

$Solve for x: sqrt(2x - 3) - sqrt(x - 2) = 1Solutionsqrt(2x - 3) - sqrt(x - 2) = 1 Taking square of both sides: {sqrt(2x - 3) - sqrt(x - 2) }^2 = 1^2 (2x-3) + (x$

Solve for x sqrt2x 3 sqrtx 2 1Solutionsqrt2x 3 sqrtx

Solution

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