Question

What are the exact solutions of x2 − 3x − 1 = 0?

Select one:

a. x = the quantity of 3 plus or minus the square root of 5 all over 2 Incorrect

b. x = the quantity of negative 3 plus or minus the square root of 5 all over 2

c. x = the quantity of 3 plus or minus the square root of 13 all over 2

d. x = the quantity of negative 3 plus or minus the square root of 13 all over 2

Answer 1

Hi, the quadratic formula is:
`\boxed{X= \frac{-b \pm \sqrt{b ^(2)-4ac } }{2a}}`

Values: a = 1; b = - 3; c = -1
Solving:


`X ^(2)-3X-1=0`


`X= \frac{-(-3) \pm \sqrt{(-3) ^(2)-4(1)(-1) } }{2(1)}`


`X= (3 \pm √(9+4) )/(2)`


`X= (3 \pm √(13) )/(2)\ ===\ \textgreater \ \ Answer:\ \boxed{ \textbf{Option\ {C.}}}`

GOOD LUCK...!!!

Answer 2

Option C is the answer!