Question

Find the roots of 3x^2-9x+2=0

Answer 1

Answer:

x=9+sqrt57/6 x=9-sqrt57/6

Step-by-step explanation:

Answer 2

Step-by-step explanation:

3x2-9x-2 = 0 by the Quadratic Formula .

According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 3

B = -9

C = -2

Accordingly, B2 - 4AC =

81 - (-24) =

105

Applying the quadratic formula :

9 ± √ 105

x = —————

6

√ 105 , rounded to 4 decimal digits, is 10.2470

So now we are looking at:

x = ( 9 ± 10.247 ) / 6

Two real solutions:

x =(9+√105)/6=3/2+1/6√ 105 = 3.208

or:

x =(9-√105)/6=3/2-1/6√ 105 = -0.208