Find all complex solutions of x^2-5x -5= 0

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.

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

Step-by-step explanation:

Points to remember

Solution of a quadratic equation ax² + bx + c = 0

x = [-b ± √(b² - 4ac)]/2a

To find the solutions of given equation

It 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

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

b

step-by-step explanation: