Question

Use quadratic formula to find both solutions to the quadratic equation given below . 3x^2-5x-1=0

Answer 1

B.
`(5+√(37) )/(6)`

D.
`(5-√(37) )/(6)`

Step-by-step explanation:

Given expression:

3x² - 5x -1 = 0

The quadratic formula is;

x =
`\frac{-b +/- \sqrt{b^(2) -4ac} }{2a}`

a = 3

b = -5

c = -1

Insert the parameters:

x =
`\frac{-(-5)+/-\sqrt{-5^(2) - 4(3)(-1) } }{2(3)}`

x =
`(5 +/- √(25 + 12) )/(6)`

x =
`(5 +/- √(37) )/(6)`

So;

x =
`(5+√(37) )/(6)` or
`(5-√(37) )/(6)`