Question

1. Find the value of x in the equation √ x + 5 = √ x + 45. A. 16 B. 4 C. 1 D. 2

Answer 1

Answer: Option 'A' is correct.

Step-by-step explanation:

Since we have given that

$\sqrt{x}+5=\sqrt{x+45}$

We need to find the value of x in the above equation:

$\sqrt{x}+5=\sqrt{x+45}\\\\\text{ On squaring both sides , we get}\\\\(\sqrt{x}+5)^2=x+45\\\\x+5\sqrt{x}+25=x+45\\\\5\sqrt{x}+25=45\\\\5\sqrt{x}=45-25=20\\\\\sqrt{x}=\frac{20}{5}\\\\\sqrt{x}=4\\\\\text{ on squaring both sides}\\\\x=4^2=16$

Therefore, the value of x = 16

Hence, Option 'A' is correct.

Answer 2

I think you mean
sqrt x + 5 = sqrt (x+45)


if you plug in x = 4,
left side = sqrt 4 + 5 = 2+ 5 = 7

right side = sqrt (4+45) = sqrt 49 = 7

so the answer is x = 4 :)