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Question
If the discriminant of the quadratic equation 3x2 - 2x + c = 0 is 16, then the value of c is ______.
Options
1
0
-1
`sqrt2`
Solution
If the discriminant of the quadratic equation 3x2 - 2x + c = 0 is 16, then the value of c is -1.
Explanation:
The quadratic equation 3x2 - 2x + c = 0 has a discriminant of 16, we can set up the equation for the discriminant:
D = (-2)2 - 4(3)c = 16
4 - 12c = 16
-12c = 12
c = -1
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