Solve the equation x^4-64=0
2 answers:
Answer:
A
Step-by-step explanation:
x^4=64
x^2= +- 8
x = +-sqrt2, x= +- i sqrt2
Answer:
A
Step-by-step explanation:
x^4-64=0
factor
(x^2+8)(x^2-8)=0
zero property
x^2+8=0, x^2-8=0
x^2=0-8-8,
x^2=-8,
x^2=0+8=8,
x^2=8,
----------------
sqrt(8) & sqrt(-8),
gives you 2*sqrt(2) and -2*sqrt(2),
also, the square root of a negative number contains the imaginary number, i. Because sqrt(-1)=i, don't forget this formula.
So sqrt(-8)=2i*sqrt(2) and -2i*sqrt(2).
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