Question

84. If x-2 root x = 3, then the value of x is
(1) 1
(2) 3
(3) 9
(4) -1​

Answer 1

Answer:

1

Step-by-step explanation:

Put value Of x in equation

x-2 = ?

3 -2 = 1

Answer 2

Answer:

Answer is (1) 1 and (3) 9

Step-by-step explanation:

Given that

$x - 2 \sqrt{x} = 3$

$= > x - 3 = 2 \sqrt{x} \\ taking \: square \: both \: the \: sides \\ = > {(x - 3) }^{2} = {(2 \sqrt{x} )}^{2} \\ = > {x}^{2} - 6x + 9 = 4x \\ = > {x}^{2} - 6x - 4x + 9 = 0 \\ = > {x}^{2} - 10x + 9 = 0 \\ = > {x}^{2} - x - 9x + 9 = 0 \\ = > x(x - 1) - 9(x - 1) = 0 \\ = > (x - 1)(x - 9) = 0 \\ therefore \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ x = 1 \: or \: 9$