Question

HELP ME PLEASEEE
it’s algebra 2

Answer 1

A)x=3,x≠-5/3

Explanation:

to understand this

you need to know about:

• equation
• redical equation
• PEMDAS

given:

• 
  `\tt √(4x + 15) = 3 √(x)`

let's solve:

`\tt √(4x + 15) = 3 √(x)`

1. 
   `\sf square \: both \: sides : \\ ( √(4x + 15) {)}^(2) = (3 √(x) {)}^(2) \\ 4x + 15 = 9x`
2. 
   `\sf cancel \: 9x \: from \: both \: sides : \\ 4x + 15 - 9x = 9x - 9x \\ - 5x + 15 = 0`
3. 
   `\sf cancel \: 15 \: from \: both \: sides : \\ - 5x + 15 - 15 = 0 - 15 \\ - 5x = - 15`
4. 
   `\sf \: divide \: both \: sides \: by \: - 5 : \\ ( - 5x)/( - 5) = ( - 15)/( - 5) \\ \therefore \: x = 3`