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