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

Use quadratic formula to find both solutions to the quadratic equation given below-example-1

1 Answer

5 votes

Answer:

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)

User Liz Barrett
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