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

The answer is

`x = √(5) \: \: \: \: \: or \: \: \: \: \: \: x = - √(5) \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2`

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 = (\pm √(20) )/(2) \\ x = (\pm2 √(5) )/(2) \\ x = \pm √(5) \: \: \:`

We have the final answer as

`x = √(5) \: \: \: \: \: or \: \: \: \: \: \: x = - √(5) \\ x = 2.2 \: \: \: \: \: or \: \: \: \: \: \: \: x = - 2.2`

Hope this helps you