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Katena32 [7]
3 years ago
7

HELPPPPP :Expressions: Multiple choice: picture provided. With questions and answer choices. USA test prep question

Mathematics
1 answer:
vodomira [7]3 years ago
8 0

Option B:

$x=\pm 2\frac{1}{2}

Solution:

Given expression:

$3 x^{2}=18 \frac{3}{4}

To find the value of x:

$3 x^{2}=18 \frac{3}{4}

Convert mixed fraction into improper fraction.

$3 x^{2}= \frac{18\times 4+3}{4}

$3 x^{2}= \frac{75}{4}

Divide by 3 on both sides of the equation, we get

$x^{2}= \frac{25}{4}

$ x^{2}= \frac{5^2}{2^2}

Taking square root on both side of the equation.

$\sqrt{ x^{2}}= \sqrt{\frac{5^2}{2^2}}

$ x=\pm \frac{5}{2}

Convert improper fraction into mixed fraction.

$x=\pm 2\frac{1}{2}

Hence option B is the correct answer.

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