Question

Using the quadratic formula to solve x2 = 5 - X, what are the values of X?

Answer 1

Answer:

The answer is

$x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2}$

Step-by-step explanation:

x² + x - 5 = 0

Using the quadratic formula

That's

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

From the question

a = 1 , b = 1 , c = - 5

Substitute the values into the above formula and solve

We have

$x = \frac{ - 1\pm \sqrt{ {1}^{2} - 4(1)( - 5) } }{2(1)} \\ x = \frac{ - 1\pm \sqrt{1 + 20 } }{2} \\ x = \frac{ - 1\pm \sqrt{21} }{2}$

We have the final answer as

$x = \frac{ - 1 + \sqrt{21} }{2} \: \: \: or \: \: \: x = \frac{ - 1 - \sqrt{21} }{2}$

Hope this helps you