Question

The real solutions to the quadratic -x² - 2x+5=0 are:

2± √√29
2
-1±-√6
No real solutions.
None of the choices are correct.

Answer 1

No real solutions.

Explanation:

To solve this, we need to use Quadratic Formula.

Quadratic Formula:

`x = \frac{ - b + - \sqrt{ {b}^(2) - 4ac} }{2a} \\ \\`

in the form of:

`a {x}^(2) + bx + c`

Given information from the question, we can deduce:

a = -1

b = -2

c = 5

Let's substitute these values into the formula.

`x = \frac{ - ( - 2) + - \sqrt{ {( - 2)}^(2) - 4( - 1)( -5)} }{2( - 1)} \\ = no \: real \: solutions`

if you punch these into the calculator.