Answer:
[tex]x = 11/4[/tex]
Step-by-step explanation:
Given
[tex]1 + \sqrt{4x + 5} = 5[/tex]
Required
The solution
[tex]1 + \sqrt{4x + 5} = 5[/tex]
Collect like terms
[tex]\sqrt{4x + 5} = 5 - 1[/tex]
[tex]\sqrt{4x + 5} = 4[/tex]
Square both sides
[tex]4x + 5 = 16[/tex]
Collect like terms
[tex]4x = 11[/tex]
Divide both sides by 4
[tex]x = 11/4[/tex]
