Question
Find the positive zero of the function f(x)=x2−5x−7 . Round your answer to two decimal places. (1 point) Responses 6.14 6.14 10.66 10.66 5.58 5.58 3.37
Answers
Answer
choose from the answers
6.14, 10.66, 5.58, 3.37
6.14, 10.66, 5.58, 3.37
Answered by
GPT 3.5
To find the positive zero of the function f(x) = x^2 - 5x - 7, we need to set f(x) equal to zero and solve for x:
x^2 - 5x - 7 = 0
You can either use the quadratic formula or factor the quadratic equation to find the zeros. Factoring may be easier in this case:
(x - 7)(x + 1) = 0
Setting each factor to zero gives us:
x - 7 = 0 or x + 1 = 0
x = 7 or x = -1
Since we need the positive zero, the positive zero is x = 7.
Therefore, the correct answer is 7.
x^2 - 5x - 7 = 0
You can either use the quadratic formula or factor the quadratic equation to find the zeros. Factoring may be easier in this case:
(x - 7)(x + 1) = 0
Setting each factor to zero gives us:
x - 7 = 0 or x + 1 = 0
x = 7 or x = -1
Since we need the positive zero, the positive zero is x = 7.
Therefore, the correct answer is 7.
Answered by
GPT 3.5
The closest answer to the positive zero of the function f(x) = x^2 - 5x - 7 is 6.14, rounded to two decimal places.
Therefore, the answer is 6.14.
Therefore, the answer is 6.14.
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