SOLUTION: Please help me solve:
Find all real solutions of the given equation:
(x^2 - x)^2 - 63(x^2-x) - 648 = 0
Algebra.Com
Question 530118: Please help me solve:
Find all real solutions of the given equation:
(x^2 - x)^2 - 63(x^2-x) - 648 = 0
Found 2 solutions by stanbon, KMST:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Find all real solutions of the given equation:
(x^2 - x)^2 - 63(x^2-x) - 648 = 0
---
Let w = x^2-x
---
Your problem:
w^2 - 63w - 648 = 0
Factor:
(w+9)(w-72) = 0
w = -9 or w = 72
----
Solve for "w":
If w = -9 you get:
x^2-x = -9
x^2-x+9 = 0
Use the quadratic formula to solve.
--------------
If w = 72
x^2-x 72
x^2-x-72 = 0
Factor:
(x-9)(x+8) - 0
x = 9 or x = -8
======================
Cheers,
Stan H.
==========
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
Check my arithmetic, because I'm error prone, and sometimes my + and - sihgn magically inerconvert.
I would start by doing a variable change by defining
Then the equation is really
The solutions are and
Then you would have
, with two real solutions
and
and also
that would lead you to two other complex solutions
RELATED QUESTIONS
Find all real solutions of the given equation.... (answered by richwmiller,Alan3354)
x^2 + x sqrt(x^2 + x) - 2 = 0
Find all real solutions. Please help as once again this... (answered by edjones)
given the equation x^2 +kx +2=0 find all possible values of k for one real solution, 2... (answered by jsmallt9)
How would I solve this?
Find all real solutions of each equation.
Please help me... (answered by Alan3354)
find all real solutions of the equation.... (answered by jim_thompson5910)
Find all real solutions of the equation.... (answered by Boreal)
find all real solutions to each equation... (answered by Fombitz)
find all real solutions to each equation
x^2 + x +√x^2+x... (answered by Fombitz)
Find all the real solutions of the equation.... (answered by jsmallt9)