# Math( help please ! )

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For what values of k will the function f(x)=3x^2+4x+k=0 have no zeros, one zero, 2 zeros

• Math( help please ! ) -

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

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