SOLUTION: Equations Reducible to Quadratic Form: Use the given substitution to solve the equation: x4 - 7x2 + 6 = 0 u=x2 I don't know how to enter the CARET symbol,

Algebra.Com
Question 475899: Equations Reducible to Quadratic Form:
Use the given substitution to solve the equation:
x4 - 7x2 + 6 = 0 u=x2
I don't know how to enter the CARET symbol, but eh x is to the 4th power and the other x is to the 2nd power

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
x4 - 7x2 + 6 = 0
x^2=u
u^2-7u+6=0
u^2-6u-u+6=0
u(u-6)-1(u-6)=0
(u-6)(u-1)=0
u=6 OR 1
x^2= 6 OR x^2=1
x= +/-sqrt(6)
OR
x= +/-(1)
m.ananth@hotmail.ca

RELATED QUESTIONS

What are the solutions of the equation x4 + 3x2 + 2 = 0? Use u substitution to... (answered by ikleyn)
Subscript notation is frequently used for working with larger systems of equations. Use a (answered by Alan3354,ikleyn)
Subscript notation is frequently used for working with larger systems of equations. Use a (answered by ikleyn)
Subscript notation is frequently used for working with larger systems of equations. Use a (answered by greenestamps)
please solve the equation that is reducible to a quadratic equation.... (answered by texttutoring)
Subscript notation is frequently used for working with larger systems of equations. Use a (answered by MathLover1)
Subscript notation is frequently used for working with larger systems of equations. Use a (answered by ikleyn)
This question deals with solving Equations that are reducible to Quadratic Equations... (answered by scott8148)
Quartic equations of the form {{{Ax^4+Bx^3+Cx^2+Bx+A=0}}}, (A does not equal 0), are... (answered by greenestamps)