Question

HELP ASAP!!!

What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?

x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2

Answer 1

Answer: Choice C

Step-by-step explanation:

The given equation is in the form
`ax^2+bx+c=0`, where,

• a = 1
• b = -3
• c = -1

Use the quadratic formula to get the following

`x = (-b\pm√(b^2-4ac))/(2a)\\\\x = (-(-3)\pm√((-3)^2-4(1)(-1)))/(2(1))\\\\x = (3\pm√(9+4))/(2)\\\\x = (3\pm√(13))/(2)\\\\`

The last equation matches with choice C.