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Answer:
Step-by-step explanation:
The standard equation of a hyperbola is given by:
where (h, k) is the center, the vertex is at (h ± a, k), the foci is at (h ± c, k) and c² = a² + b²
Since the hyperbola is centered at the origin, hence (h, k) = (0, 0)
The vertices is (h ± a, k) = (±√61, 0). Therefore a = √61
The foci is (h ± c, k) = (±√98, 0). Therefore c = √98
Hence:
c² = a² + b²
(√98)² = (√61)² + b²
98 = 61 + b²
b² = 37
b = √37
Hence the equation of the hyperbola is:
Answer:
Step-by-step explanation:
We have been given a function . We are asked to find the zeros of our given function.
To find the zeros of our given function, we will equate our given function by 0 as shown below:
Now, we will factor our equation. We can see that all terms of our equation a common factor that is .
Upon factoring out , we will get:
Now, we will split the middle term of our equation into parts, whose sum is and whose product is
. We know such two numbers are
.
Now, we will use zero product property to find the zeros of our given function.
Therefore, the zeros of our given function are .
Step-by-step explanation:
you can open the file I gave you now. the answer is there
