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

Option C is the answer!

Answer 2

Hi, the quadratic formula is: $\boxed{X= \dfrac{-b \pm \sqrt{b ^{2}-4ac } }{2a}}$

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

$X ^{2}-3X-1=0$

$X= \dfrac{-(-3) \pm \sqrt{(-3) ^{2}-4(1)(-1) } }{2(1)}$

$X= \dfrac{3 \pm \sqrt{9+4} }{2}$

$X= \dfrac{3 \pm \sqrt{13} }{2}\ ===\ \textgreater \ \ Answer:\ \boxed{ \textbf{Option\ {C.}}}$

GOOD LUCK...!!!