Respuesta :

Answer:

x = 7

Explanation:

√3x + 4 = 5

square root both sides

(√3x + 4)² = 5²

simplify

3x + 4 = 25

collect into groups

3x = 21

divide both sides by 3

x = 7

Answer:

[tex]7[/tex]

Step-by-step explanation:

[tex]~~~~~~\sqrt{3x+4} = 5\\\\\implies \left(\sqrt{3x+4} \right)^2 = 5^2\\\\\implies 3x+4 = 25\\\\\implies 3x = 25 -4 \\\\\implies 3x = 21\\\\\implies x= \dfrac{21}3\\\\\implies x = 7[/tex]

[tex]\textbf{Verification:}\\\\~~~~~~\sqrt{3 \times 7 +4} =5\\\\\implies \sqrt{21+4} = 5\\\\\implies \sqrt{25} = 5\\\\\implies 5 = 5 \checkmark[/tex]