We have
(a + b)² = a² + 2ab + b²
so that with a = x² and b = 5, we have
x⁴ + 10x² + 25 = (x² + 5)²
Next, we have
a² - b² = (a - b) (a + b)
so that with a = x and b = √5 i,
x² + 5 = x² - (-5) = (x - √5 i) (x + √5 i)
So, the complete factorization over the complexes is
(x - √5 i)² (x + √5 i)²
Answer:
-1
Step-by-step explanation:
Your welcome back to the inputs is
Answer:
5√2
Step-by-step explanation:
√8 + √18
We first have to find what is the largest perfect square that goes into √8:
4 is the largest, so therefore → √8 gives you 2√2:
Work: √4 * √2 → 2 * √2 → 2√2
Now we have to find what is the largest perfect square that goes into √18:
9 is the largest, so therefore → √18 gives you 3√2:
Work: √9 * √2 → 3 * √2 → 3√2
Because 2√2 and 3√2 have the same "base" of √2, they can be added together:
2√2 + 3√2 = 5√2 (The "bases" are to be left alone!)
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Answer:
<em>Step-by-step explanation:</em>
<em>Step 1. (The capture) Capture a sample total counted =958, and them back tagged counted=38,total tagged=56
</em>
<em>The idea is to estimate the proportion p = m/N of tagged =102.
</em>
<em>Step 2. (The recapture) After everything has settled down, capture a new sample of n fish. Count the number of tagged fish. Suppose that k of them are tagged.
</em>
<em>It is reasonable that, k/n would be a good estimante for p = m/N.
</em>
<em>Accordingly, for an estimate N of N, se solve the equation m/N= k/n.
</em>
