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Butoxors [25]
3 years ago
13

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

Mathematics
2 answers:
Nimfa-mama [501]3 years ago
8 0

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.

Korvikt [17]3 years ago
7 0
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 :)
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3 0
3 years ago
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Airida [17]
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4 0
2 years ago
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