Question

$${ 5 }^{ 2 } + { x }^{ 2 } = { 9 }^{ 2 }$$

Answer

x=2*sqrt(14),-2*sqrt(14)

Solution


Simplify  \({5}^{2}\)  to  \(25\).
\[25+{x}^{2}={9}^{2}\]
Simplify  \({9}^{2}\)  to  \(81\).
\[25+{x}^{2}=81\]
Subtract \(25\) from both sides.
\[{x}^{2}=81-25\]
Simplify  \(81-25\)  to  \(56\).
\[{x}^{2}=56\]
Take the square root of both sides.
\[x=\pm \sqrt{56}\]
Simplify  \(\sqrt{56}\)  to  \(2\sqrt{14}\).
\[x=\pm 2\sqrt{14}\]

Decimal Form: ±7.483315