Respuesta :

given:

[tex]\begin{gathered} \sqrt[]{7x+5}=\sqrt[]{3x+8} \\ \end{gathered}[/tex]

To find 3/4 is a solution of the above given equation.

let us subsitute in value of x.

[tex]\begin{gathered} =\sqrt{7\cdot\frac{3}{4}+5} \\ =\sqrt{\frac{41}{4}} \\ \end{gathered}[/tex]

now,

[tex]\begin{gathered} =\sqrt{3\cdot\frac{3}{4}+8} \\ =\sqrt{\frac{41}{4}} \end{gathered}[/tex]

we get the same answer for the equation.

Thus 3/4 is a solution of the given equaion.