SOLUTION: Dear Sir/Madam, A pleasant day! Please help me with this problem on quadratic equation: 3x^2-7x+6=k, roots equal to zero. Thank you very much for your help!

Question 767753: Dear Sir/Madam,
A pleasant day! Please help me with this problem on quadratic equation:
3x^2-7x+6=k, roots equal to zero. Thank you very much for your help!
Found 2 solutions by Alan3354, josgarithmetic:
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Please help me with this problem on quadratic equation:
3x^2-7x+6=k, roots equal to zero.
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3x^2-7x+6=k
3x^2 = k + 7x - 6 = 0
k = -7x + 6

Answer by josgarithmetic(39614) (Show Source): You can put this solution on YOUR website!
"roots equal to zero", so you want the only root to be x=0.
(Look at "MORE DONE", below).

3x^2-7x+6-k=0

-

We also need for discriminant to be equal to 0, otherwise we will have two roots and not both be zero.

Using that in the general solution gives that:
or
Neither of them is zero.
Your question or your equation does not work. What are you really asking?

MORE DONE:
Back to the quadratic formula solution equated to 0, you could find a k that makes the expression equal to zero for the roots to be equal to zero. You might be looking for that.
The numerator must then be zero.

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