Quadratic Equations

posted by Mya

Determine the value of "m" that will give the quadratic 3x^2 + 4x + m = 0 :
a) two equal roots
b) no real roots.

  1. Reiny

    For two equal roots, the discriminant has to be zero, ...
    b^2 - 4ac = 0
    16 - 4(3)(m) = 0
    16 = 12m
    m = ....

    For no real roots, b^2 - 4ac < 0 , so ....

Respond to this Question

First Name

Your Answer

Similar Questions

  1. math

    I'm having trouble understanding one step in a proof of the Cauchy-Schwarz inequality: u = a non-zero vector v = another vector a = <u,u> (so a > 0 by positivity axiom) b = 2<u,v> c = <v,v> (so c >= 0 by positivity …
  2. Algebra2

    Find the polynomials roots to each of the following problems: #1) x^2+3x+1 #2) x^2+4x+3=0 #3) -2x^2+4x-5 #3 is not an equation. Dod you omit "= 0" at the end?
  3. Precalculus

    "Show that x^6 - 7x^3 - 8 = 0 has a quadratic form. Then find the two real roots and the four imaginary roots of this equation." I used synthetic division to get the real roots 2 and -1, but I can't figure out how to get the imaginary …
  4. 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 …
  5. Math

    I can't remember how you find the roots of quadratic equations other than determining the zeroes of the equation and finding the x-intercepts. Can someone please give me a clear answer on this as my dad has been useless on this topic …
  6. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have?
  7. quadratic equations

    The solution to a quadratic equation is x is equals to 3 plus or minus square root of 4 minus 8p all over 4 where p is the element of Q. Determine the value(s) of p that the roots of the equation are equal and non-real
  8. quadratic equations

    The solution to a quadratic equation is x is equals to 3 plus or minus square root of 4 minus 8p all over 4 where p is the element of Q. Determine the value(s) of p that the roots of the equation are equal and non-real
  9. quadratic equations

    The solution to a quadratic equation is x is equals to 3 plus or minus square root of 4 minus 8p all over 4 where p is the element of Q. Determine the value(s) of p that the roots of the equation are equal and non-real
  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