Question

Solve 64y=9y^3 I need a good step-by-step please

Answer 1

64 = 9y^3

Divide through by 9y

64/9=y^2

y^2=64/9

y= √(64/9) or -√(64/9)

y=8/3 or -8/3
y=2 2/3 or -2 2/3

Answer 2

`y = \frac83, y = -\frac83`

Explanation:

Solve:

• 
  `64y = 9y^3`
• 
  `64 = 9y^2 \text{ divide both sides by y}`
• 
  `(64)/(9) = y^2 \text{ divide both sides by 9}`
• 
  `\sqrt{(64)/(9)} = √(y^2)`
• 
  `\frac83 = |y|`
• 
  `y = \frac83, y = -\frac83`

Use rule: √a² = |a|

-Chetan k