Question

What positive value of b makes this equation true

Leave your answer in radical form.
9 to the power of 2 b to the power of 2 = 12 to the power of 2

Answer 1

`\huge\boxed{\sf b = 4/3}`

Explanation:

Given equation:

`9^2 * b^2 = 12^2`

So,

81 × b² = 144

• Divide both sides by 81

b² = 144 / 81

b² = (12 × 12) / (9 × 9)

b² = 12² / 9²

• Take square root on both sides

√b² = √(12²/9²)

b = 12 / 9

b = 4 / 3

`\rule[225]{225}{2}`