Find the Roots of the equation x+√x-2=4

1.	Find the Roots of the equation x+√x-2=4
Answer» X + √(x - 2) = 4\xa0√(x - 2) = 4 -x\xa0take square Both sides\xa0x - 2 = 16 -8x + x²x² -9x +18 = 0x² -6x -3x +18 =0x(x -6) -3(x -6) =0(x -6)(x -3) =0x = 6 , 3\xa0according to √(x - 2) and (4 -x) ≥0x≥2 and x ≤4\xa0so, x ≠ 6\xa0only x = 3

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