algebra2/trig

posted by .

for what are value of k are the roots of 3x^2-6x+k=0 equal?

  • algebra2/trig -

    For the roots of the quadratic equation
    ax^2+bx+c=0
    to be equal, the discriminant Δ must equal to zero, where
    Δ=b^2-4ac...(1)

    For the given equation
    3x^2-6x+k=0
    a=3,b=-6, c=k
    Substitute a,b,and c in (1), equate to zero and solve for k.

    Post your answer for checking if you wish.

  • algebra2/trig -

    k=6

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. algebra

    Determine the value(s) of k for which x^2+(k-2)x-2k=0 has equal and real roots. a x^2 + bx + c = 0 has two different roots if the discriminant D defined as: D = b^2 - 4 a c does not equal zero. If D = 0 then there is one root. That …
  2. Algebra

    The equation x^2+px+q=0, q cannot be equal to 0, has two unequal roots such that the squares of the roots are the same as the two roots. Calculate the product pq. I think the obvious root would be one but the second roots i just can't …
  3. Math

    Determine for what value(s) of d the quadratic equation 5x^2-10x+d = 0 has i) real and distinct roots ii)real and equal roots iii)non-real roots This is what I did to solve for A. 5x^2-10x+d = 0 b^2-4ac = 0 (-10)^2-4(5)(d) = 0 100-20d …
  4. alg2/trig

    what is the smallest value of k that would make the roots of the equation x^2-2x-k imaginary?
  5. trig

    use the discriminant to solve for the smallest value of b that would make the roots of the equation x^2+bx+5=o imaginary
  6. calc

    by applying rolle's theorem, check whether it is possible that the function f(x) = x^5 + x -17 has two real roots. your reason is that if f(x) has two real roots then by rolle's theorem, f'(x) must be equal to what at certain value …
  7. alg2/trig

    If 4x^2+9=kx, what value of k will produce equal roots?
  8. maths

    If the roots of the eqn 1/(x+p) + 1/(x+p) = 1/r are equal in magnitude but opposite in sign, show that p+r=2r and that the product of the roots is equal to (-1/2) (p²+q²)
  9. Pre-Calc/Trig...

    Helpp needed, this is sort of confusing me. Describe the nature of the roots for this equation. 2x^2-x+1=0 A. Two real, rational roots B. Two real, irrational roots C. One real, double root D. Two complex roots
  10. Math

    determine the value(s) of k which a quadratic equation x^2+kx+9=0 will have. a) two equal real roots b) 2 distinct roots I tried to find the discriminant but couldn't get the right answer

More Similar Questions