SOLUTION: Solve the following equation using the substitution method. x^4 �5x^2 �14=0 Complete the following steps to solve the above equation: Let u=x^2, substitute the variables, a

Question 721020: Solve the following equation using the substitution method.
x^4 �5x^2 �14=0
Complete the following steps to solve the above equation:
Let u=x^2, substitute the variables, and write the new equation.
Now factor the new equation, apply the zero-product principle, and solve for u.
Now substitute u=x^2 to solve for x.

Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
The directions you were given are very good. The only improvements I can make are:
Instead of:
"Let u=x^2, substitute the variables, and write the new equation."
I would add
"Let u=x^2. Then u^2 = (x^2)^2 = x^4, substitute u and u^2 for x^2 and x^4"
and then instead of:
"Now substitute u=x^2 to solve for x."
I would say:
"Replace the u with x^2 and solve for x"
RELATED QUESTIONS
Solve the following equation using the substitution method. x^4 �5x^2 �14=0... (answered by stanbon)

I'm very confused on the substitution method, so I will write the question as it appears... (answered by Susan-math,josgarithmetic)

solve the following using the substitution method: y=-5/x... (answered by mananth)

Solve the following system using the substitution method: x=-3y+4 and 3x+9y=12. I know... (answered by MathLover1)

Solve the system by using the substitution method x=1/4y-5/4 y=2/5x+14/5 (x,y)=( ,... (answered by checkley77)

Solve the following problem using "Complete the Square" Method... (answered by lwsshak3)

Solve the following system of equations using the substitution method 5x-7y= -18 4x+... (answered by Cromlix)

How do I solve the following using the substitution steps? 5x+2y=7 y=x-7 Thank... (answered by richwmiller)

Solve using the substitution method, the elimination method, or the graphing method. y (answered by checkley77)