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Rainbow [258]
3 years ago
14

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

Mathematics
1 answer:
Yanka [14]3 years ago
3 0

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)

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