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

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.
Answer
choose from the answers
6.14, 10.66, 5.58, 3.37
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.

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