SOLUTION: If (a-b) and (a+b) are zeroes of the polynomials f(x)=2x^3- 6x^2+6x-7. Find the value of a.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: If (a-b) and (a+b) are zeroes of the polynomials f(x)=2x^3- 6x^2+6x-7. Find the value of a.      Log On


   

Question 880251: If (a-b) and (a+b) are zeroes of the polynomials f(x)=2x^3- 6x^2+6x-7. Find the value of a.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
Re TY
Sry, You did not say You were wanting the formulas for solving cubic equations:
See x[2]below: Plug and Play, the value of a would simply be:
a = 1+%2B%28-.5%29root%283%2C+540%2B540%29%2F6root%283%2C2%29 Answer formatted as directed.
Recommend using a Graphing calculator to find the real root
Or cubic equation Calculator to find all:
f(x)=2x^3- 6x^2+6x-7 |format ax^2 + bx^2 + cx + d
3 Roots, 2 imaginary (nearest 4 decimal places)
x is 2.3572, .3214 + 1.1754i, .3214 - 1.1754i
a = 0.3213955958512734
X[1] =
x[2] =
X[3] =