Find all complex solutions of X^2-5X -5= 0 Question Find all complex solutions of X^2-5X -5= 0 in progress 0 Math Ella 6 days 2021-10-13T06:00:02+00:00 2021-10-13T06:00:02+00:00 2 Answers 0

## Answers ( )

ANSWER

EXPLANATION

The given equation is

The solution is given by the formula

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

We substitute into the formula to get;

We simplify to get,

The solutions are:

The equation has no complex roots.

Answer:x = [5 + 3√5]/2 or x = [5 -3√5]/2

Step-by-step explanation:Points to rememberSolution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² – 4ac)]/2a

To find the solutions of given equationIt is given x² – 5x – 5 = 0

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

x = [-b ± √(b² – 4ac)]/2a

= [–5 ± √((-5)² – 4*1*-5)]/2*1

= [5 ± √(25 + 20)]/2

= [5 ± √(45)]/2

= [5 ± 3√5]/2

x = [5 + 3√5]/2 or x = [5 -3√5]/2