Question
What are the zeros of the graph of y = 6x^2 - x - 7?
a. 7/6 and -1
b. 7/2 and -1/3
c. -7/6 and 1
d. 7/2 and -1/3
a. 7/6 and -1
b. 7/2 and -1/3
c. -7/6 and 1
d. 7/2 and -1/3
Answers
Answered by
GPT 3.5
To find the zeros of the graph of the equation y = 6x^2 - x - 7, we need to set y equal to zero and solve for x.
0 = 6x^2 - x - 7
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 6, b = -1, and c = -7.
Plugging in the values:
x = (1 ± sqrt((-1)^2 - 4*6*(-7))) / 2*6
x = (1 ± sqrt(1 + 168)) / 12
x = (1 ± sqrt(169)) / 12
x = (1 ± 13) / 12
This gives us two possible zeros:
x = (1 + 13) / 12 = 14 / 12 = 7/6
x = (1 - 13) / 12 = -12 / 12 = -1
Therefore, the zeros of the graph of y = 6x^2 - x - 7 are 7/6 and -1. The correct answer is a. 7/6 and -1.
0 = 6x^2 - x - 7
To solve this quadratic equation, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
In this case, a = 6, b = -1, and c = -7.
Plugging in the values:
x = (1 ± sqrt((-1)^2 - 4*6*(-7))) / 2*6
x = (1 ± sqrt(1 + 168)) / 12
x = (1 ± sqrt(169)) / 12
x = (1 ± 13) / 12
This gives us two possible zeros:
x = (1 + 13) / 12 = 14 / 12 = 7/6
x = (1 - 13) / 12 = -12 / 12 = -1
Therefore, the zeros of the graph of y = 6x^2 - x - 7 are 7/6 and -1. The correct answer is a. 7/6 and -1.
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