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Let $a$, $b$, $c$, and $d$ be distinct real numbers such that \begin{align*} a &= \sqrt{4 + \sqrt{5 + a}}, \\ b &= \sqrt{4 - \sqrt{5 + b}}, \\ c &= \sqrt{4 + \sqrt{5 - c}}, \\ d &= \sqrt{4 - \sqrt{5 - d}}. \end{align*}compute $abcd$.

Sagot :

The equation of the real numbers solved shows that it has no real solutions.

How to solve the real numbers

From the information given, a,b, c, and d are distinct real numbers.

If a = ✓4 + ✓5 + a, then

0 = ✓4 + ✓5

0 = 2 + ✓5

2 = -✓5

This implies that the equation has no real solutions.

Learn more about real numbers on:

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