Find the value of x² + 17 if

\(\sqrt {4x - 9}\) + \(\sqrt {4x + 9}\) = \(\sqrt {25}\) + \(\sqrt {7}\)

33

We can easily see that x = 4 will satisfy the expression:

⇒ \(\sqrt {4x - 9}\) + \(\sqrt {4x + 9}\) = \(\sqrt {25}\) + \(\sqrt {7}\)

⇒ \(\sqrt {16 - 9}\) + \(\sqrt {16 + 9}\) = \(\sqrt {25}\) + \(\sqrt {7}\)

⇒ \(\sqrt {7}\) + \(\sqrt {25}\) = \(\sqrt {25}\) + \(\sqrt {7}\)

Hence,

x² + 17 = 4² + 17 = 16 + 17 = 33