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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

1 Answer

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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.

User Lucas Liu
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