Question

3x^2 - 5x -1 =0
Quadratic Equation
please explain step by step

Answer 1

Explanation:

Solving 3x2-5x-1 = 0 by the Quadratic Formula .

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

- B ± √ B2-4AC

x = ————————

2A

In our case, A = 3

B = -5

C = -1

B2 - 4AC =

25 - (-12) =

37

Applying the quadratic formula :

5 ± √ 37

x = —————

6

√ 37, rounded to 4 decimal digits, is 6.0828

So now we are looking at:

x = ( 5 ± 6.083 ) / 6

Two solutions:

x =(5+√37)/6= 1.847

x =(5-√37)/6=-0.180