Question

Solve the equation for x. Enter your answers as radical expressions. Then estimate to one decimal place, if
necessary.

X^2 = 5

Answer 1

Answer:

The answer is

$x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2$

Step-by-step explanation:

x² - 5 = 0

Using the quadratic formula

That's

$x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a}$

Solve the equation

From the question

a = 1 , b = 0 , c = 5

So we have

$x = \frac{ - - 0\pm \sqrt{ {0}^{2} - 4(1)( - 5)} }{2(1)} \\ x = \frac{\pm \sqrt{20} }{2} \\ x = \frac{\pm2 \sqrt{5} }{2} \\ x = \pm \sqrt{5} \: \: \:$

We have the final answer as

$x = \sqrt{5} \: \: \: \: \: or \: \: \: \: \: \: x = - \sqrt{5} \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2$

Hope this helps you