What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?
Asked by maham237 @ in Mathematics viewed by 372 People
Asked by maham237 @ in Mathematics viewed by 372 People
Answered by maham237 @
Answer:
The substitution is
Step-by-step explanation:
We have the 8th degree polynomial equation
To rewrite the equation as a quadratic function, take the common factor of the term x with the smallest exponent, in this case it is .
Now make a change of variable
.
So rewriting the equation in terms of u, we have:
Now the initial equation became a quadratic equation
Factoring is left:
and
and
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