Respuesta :

MrRoyal

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]

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