Question

if( x-2) square =25 then find the value of x​

Answer 1

Answer:

The value of x is 7 or - 3.

Step-by-step-explanation:

We have given that,

( x - 2 )² = 25

We have to find the value of x.

Now,

( x - 2 )² = 25

⇒ √( x - 2 )² = ± √25 .... [ Taking square roots ]

⇒ ( x - 2 ) = ± √( 5 * 5 )

⇒ x - 2 = ± 5

⇒ x - 2 = 5 OR x - 2 = - 5

⇒ x = 5 + 2 OR x = - 5 + 2

⇒ x = 7 OR x = - 3

∴ The value of x is 7 or - 3.

Answer 2

"

$\huge \sf \blue{ x = 7 \: or \: - 3}$

Step-by-step explanation:

(x -2)² = 25, then value of x

.

Solution -

(x -2)² = 25

=> √(x - 2)² = √25 [taking square root]

=> x - 2 = ± 5

.

First Value of x, (by taking x-2 = 5)

=> x - 2 = 5

=> x = 5+2

=> x = 7

.

second value of x (by taking x - 2 = -5)

=> x - 2 = -5

=> x = -5+2

=> x = -3

.

Hence Value of x = 7 or -3.

hope it helps.