Math

posted by .

For what values of k does the function f(x)=(k+1)x^2+2kx+k-1 have no zeros? One zero? Two zeros?

  • Math -

    You must calculate Discriminant Ä
    For quadratic equation:
    ax^2+bx+c , Ä=b^2-4*a*c
    If the discriminant is positive, then there are two distinct roots.
    If the discriminant is zero, then there is exactly one distinct real root, sometimes called a double root.
    If the discriminant is negative, then there are no real roots. Rather, there are two distinct (non-real) complex roots, which are complex conjugates of each other.

  • Math -

    Ä is Greek letter Delta(letter like triangle).
    y=ax^2+bx+c
    In your case a=k+1 , b=2k , c=k-1
    Ä=b^2-4*a*c
    Ä=(2k)^2-4*(k+1)*(k-1)
    =4k^2-4*(k^2+k-k-1)=4k^2-4*(k^2-1)
    =4k^2-4k^2-(-4)=0+4=4
    You equatin have 2 real roots

  • Math -

    In google type "quadratic equation"

    Then click on en.wikipedia link which will appered.

    On this en.wikipedia page you have all about quadratic equation.

  • Math -

    Thank you!

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Decartes Rule of Signs

    Could you explain to me decartes Rule of signs?
  2. math grade 11

    I need help with this question determine the values in k for which the function f(x)= 4x^2-3x+2kx+1 has two zeros. Check these values in the original equation. i don't get how to do it please help me.
  3. math grade 11

    I need help with this question determine the values in k for which the function f(x)= 4x^2-3x+2kx+1 has two zeros. Check these values in the original equation. i don't get how to do it please help me.
  4. Math( help please ! )

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

    For what values of k will the functon f(x)=kx^2-4x+k have no zeros Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 have 2 zeros
  6. math

    Determine the values of k for which the function f(x)=4x^2-3x+2kx+1 has two zeros. Check these values in the orginal equation.
  7. math

    Determine the values of k for which the function f(x)= 4x^2-3x+2kx+1 has two zeros , check these values in the original equation
  8. math

    Determine the values of k for which the function f(x)= 4x^2-3x+2kx+1 has two zeros , check these values in the original equation
  9. algebra

    Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function g(x)=5x©ù-28©ø-48x©÷-8x+7 if more than one zero, separate with …
  10. algebra

    Using the rational zeros theorem to find all zeros of a polynomial The function below has at least one rational zero. Use this fact to find all zeros of the function h(x)=7x^4-9x^3-41x^2+13x+6 if more than one zero, separate with commas. …

More Similar Questions