X^2+1 has no real zeroes why?
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0
For example, z2+1 has no real zeros (because its two zeros are not real numbers). x2−2 has no rational zeros (its two zeros are irrational numbers). Finally, the complex zeros of a polynomial with real coefficients come in conjugate pairs (that is, if a+bi is a zero, then so is a−bi).
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Step-by-step explanation:
X²+1 has no real zeroes as:
Reason:-
- The second factor is 0x ie alpha + beta is zero.
- So that means alpha = -beta
- But alpha × beta is 1.
- Hence condition not satisfied.
- Also, D is less than zero ie
b²-4ac <0
Because 0-4 is -4
Hence less than zero.
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