Asked by Poppy
For what values of k will the function f(x)=3x^2+4x+k=0 have no zeros, one zero, 2 zeros
Answers
Answered by
Reiny
you will have to look at the discriminant b^2 - 4ac
b^2-4ac = 16 - 4(3)(k) = 16 - 12k
If 16-12k = 0 you have one zero
if 16 - 12k > 0 you have 2 zeros
if 16-12k < 0 you have no zeros
solve each case to find the corresponding value of k
b^2-4ac = 16 - 4(3)(k) = 16 - 12k
If 16-12k = 0 you have one zero
if 16 - 12k > 0 you have 2 zeros
if 16-12k < 0 you have no zeros
solve each case to find the corresponding value of k
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