Question

Does anyone mind helping me with this? It seems simple enough.

Answer 1

Answer:

x = 4

Step-by-step explanation:

It is given that $\sqrt{(x - 3)} = \sqrt{x} + 3$, and we have to solve the given equation for x.

Now, we have $\sqrt{(x - 3)} = \sqrt{x} + 3$

Squaring both sides we get  

$[\sqrt{(x - 3)}] ^{2} = [\sqrt{x} + 3]^{2}$

⇒ x - 3 = x + 6√x + 9 {Since we know the formula of (a + b)² = a² + 2ab + b²}

⇒ 6√x = - 12

⇒ √x = -2

Again squaring both sides we get  

⇒x = 4 (Answer)