If [tex]x = \frac{a^2}{b}[/tex], which situation would always double the value of [tex]x[/tex]?

1. Doubling the value of [tex]a[/tex]
2. Halving the value of [tex]a[/tex]
3. Doubling the value of [tex]b[/tex]
4. Halving the value of [tex]b[/tex]

(4) Halving the value of b
Example #1: a = 4 , b = 2 x = (4^2) / 2 x = 16 / 2 x = 8 a = 4 , b = 1 x = (4^2) / 1 x = 16 / 1 x = 16
Example #2: a = 8 , b = 4 x = (8^2) / 4 x = 64 / 4 x = 16 a = 8 , b = 2 x = (8^2) / 2 x = 64 / 2 x = 32

Answered by iloveonedirection | 2024-06-25

Halving the value of b will always double the value of x . This results in x ′ = 2 x from the original equation x = b a 2 ​ . Thus, the correct option is 4 .
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Answered by iloveonedirection | 2024-11-05