SOLUTION: Find the sum of the squares of the three solutions of the equation x^3+(3x)^2-7x+1=0

Question 760067: Find the sum of the squares of the three solutions of the equation x^3+(3x)^2-7x+1=0

Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
so means
You may have meant , where only the is squared.

THE PROBLEM AS POSTED:
Let the solutions of be , , and .
The full factorization of the polynomial must be

If we multiply that factorization we get

From that, we get
--> and

If we multiply, we find that

Replacing the values found for the polynomial,
--> --> -->

IF THE PROBLEM EQUATION IS :
Let the solutions of be , , and .
The full factorization of the polynomial must be

If we multiply that factorization we get

From that, we get
--> and

If we multiply, we find that

Replacing the values found for the polynomial,
--> --> -->
RELATED QUESTIONS
Find all real solutions of the equation.... (answered by josgarithmetic)

Find the sum of the solutions of the equation (3x - 8/x)^2 - 7(3x - 8/x)^2 +10 = 0 (answered by stanbon)

There are three ways for solutions to exist. 1.No Solutions 2.One Solution 3.Two... (answered by Stitch)

3x^2-7x+2=0 A) Solve the Equation B) Verify that the sum of solutions is -b/a C)... (answered by ewatrrr)

Find all the solutions of the equation {{{(x^2 -7x+11)^(x^2-11x+30)... (answered by Alan3354)

The sum of the solutions of the equation (3x+2/x-2)+(1/x-1)=-1/x^2-3x+2 (answered by Fombitz)

Find the sum of the solutions of this equation... (answered by Fombitz)

Find the sum of the solutions of this equation.... (answered by richard1234)

find the real solutions of the equation.... (answered by CubeyThePenguin,greenestamps)