Question

Solve the equation for x. the square root of the quantity x minus 8 end quantity plus 2 equals 7 x = 1 x = 13 x = 17 x = 33

Answer 1

The solution of the equation (√x-8) + 2 = 7 is x = 13.

According to the given question.

We have an equation

$\sqrt{x - 8} + 2 = 7x$

Since, we solve the above equation for x .

Therefore,

$\sqrt{x - 8} + 2 = 7$

⇒ (√x - 8) = 7 - 2

⇒ (√x - 8) = 5

Squarring both the sides.

⇒ x - 8 = 5

⇒ x = 5 + 8

⇒ x = 13

Hence, the solution of the equation (√x-8) + 2 = 7 is x = 13.

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