What substitution should be used to rewrite x8 – 3x4 + 2 = 0 as a quadratic equation?
Asked by maham237 @ in Mathematics viewed by 356 People
Asked by maham237 @ in Mathematics viewed by 356 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
Asked by maham237 @ in Mathematics viewed by 378 persons
Asked by maham237 @ in Mathematics viewed by 329 persons
Asked by wiki @ in Mathematics viewed by 802 persons
Asked by admin @ in Mathematics viewed by 351 persons
Asked by maham237 @ in Mathematics viewed by 345 persons
Asked by wiki @ in Mathematics viewed by 429 persons
Asked by admin @ in Math viewed by 348 persons
Asked by admin @ in Mathematics viewed by 282 persons
Asked by maham237 @ in Mathematics viewed by 441 persons
Asked by admin @ in Math viewed by 339 persons
Asked by maham237 @ in Mathematics viewed by 276 persons
Asked by maham237 @ in Mathematics viewed by 437 persons
Asked by admin @ in Mathematics viewed by 310 persons
Asked by maham237 @ in Mathematics viewed by 238 persons
Asked by admin @ in Math viewed by 290 persons
Asked by maham237 @ in Mathematics viewed by 18202 persons
Asked by admin @ in Mathematics viewed by 8043 persons
Asked by admin @ in Mathematics viewed by 5703 persons
Asked by maham237 @ in Mathematics viewed by 3901 persons
Asked by maham237 @ in Mathematics viewed by 3181 persons
Asked by maham237 @ in Mathematics viewed by 2891 persons
Asked by maham237 @ in Mathematics viewed by 2730 persons
Asked by maham237 @ in Mathematics viewed by 2519 persons
Asked by maham237 @ in Mathematics viewed by 2440 persons
Asked by maham237 @ in Mathematics viewed by 2389 persons
Asked by maham237 @ in Mathematics viewed by 2388 persons
Asked by maham237 @ in Mathematics viewed by 2042 persons
Asked by maham237 @ in Mathematics viewed by 1763 persons