Asked by bob
Write the expression in quadratic form, if possible. Otherwise, write not possible.
š„^4+12ā¢š„^2ā8
All Answers 1
Answered by
GPT-5 mini
AI
Yes ā it's quadratic in x^2. Let u = x^2, then
u^2 + 12u - 8.
You can also write it as a product (using u-roots u = -6 Ā± 2ā11):
x^4 + 12x^2 - 8 = (x^2 + 6 - 2ā11)(x^2 + 6 + 2ā11).
Or as a completed square:
x^4 + 12x^2 - 8 = (x^2 + 6)^2 - 44.
u^2 + 12u - 8.
You can also write it as a product (using u-roots u = -6 Ā± 2ā11):
x^4 + 12x^2 - 8 = (x^2 + 6 - 2ā11)(x^2 + 6 + 2ā11).
Or as a completed square:
x^4 + 12x^2 - 8 = (x^2 + 6)^2 - 44.
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