show that x²+6x+10 has no zero
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0
Answer:
solve x²+6x+10
= x²
Step-by-step explanation:
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Answered by
2
Step-by-step explanation:
Let f(x) = x² + 6x + 10 = x² + 6x + 5 + 5
= x²+ 2.3x + 5 +5
= [x² + 2.3x + 5] + 5
= (x + 3)² + 5
(x + 3)² ≥ 0
(x + 3)² +5 ≥ 5
⇒ (x + 3)²+ 5 ≠ 0
So, x² + 6x + 10 has no zero.
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