Question

asked Dec 24, 2021 203k views

2 Answers

Pranesh Kumar Singha · Answer 1 · 2021-12-24T16:58:57+0000

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$(3)/(4) {x}^(2) - 4 = 5 \\$

Add sides 4

$(3)/(4) {x}^(2) - 4 + 4 = 5 + 4 \\$

$(3)/(4) {x}^(2) = 9 \\$

Multiply sides by 4

$4 * (3)/(4) {x}^(2) = 4 * 9 \\$

$3 {x}^(2) = 36$

Divide sides by 3

$\frac{3 {x}^(2) }{3} = (36)/(3) \\$

${x}^(2) = 12$

$x = ± \: √(12)$

$x = ± \: √(4 * 3)$

$x = ± \: \sqrt{ {2}^(2) * 3 }$

$x = ± \: 2 √(3)$

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Virne · Answer 2 · 2021-12-28T00:00:16+0000

Answer:

x = ±2 sqrt(3)

Explanation:

3/4 x^2-4=5

Add 4 to each side

3/4 x^2-4+4=5+4

3/4 x^2=9

Multiply each side by 4/3

4/3 * 3/4 x^2 = 9 * 4/3

x^2 = 12

Take the square root of each side

sqrt(x^2) = ±sqrt(12)

x = ±sqrt(4*3)

x = ± sqrt(4) sqrt(3)

x = ±2 sqrt(3)

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