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 root is then real if b/a is real. In this case this means that:

(k-2)^2 + 8k = 0 --->

(k+2)^2 = 0 --->

k = -2

k must also be real and -2 is real, so k = -2 is a valid solution.

  1. 👍 0
  2. 👎 0
  3. 👁 191
asked by Shay
  1. its -3

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. mathematics

    Use the discriminant to determine the number of real roots the equation has. 3x2 – 5x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)

    asked by mdan on October 7, 2013
  2. maths2

    Use the discriminant to determine the number of real roots the equation has. 7x2 + 3x + 1 =0 A. One real root (a double root) B. Two distinct real roots C. Three real roots D. None (two imaginary roots)

    asked by mdan on October 7, 2013
  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

    asked by -Untamed- on December 5, 2011
  4. Quadratic Equations

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

    asked by Mya on July 9, 2018
  5. 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

    asked by Anonymous on October 2, 2016
  6. 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

    asked by Emily on September 20, 2009
  7. can someone please help me?

    simplify the following expressions involving complex numbers. (3+2i)-(-7-i) 10 + 3i how did you do that? can you show me this one and explain how this time? (3+2i)(-7-i) or even (3-2i)^2 you would do 3+2i=5i, then -7-i=7i then

    asked by Shay on January 18, 2007
  8. 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

    asked by Anonymous on October 17, 2014
  9. factoring

    can this equation be factored further? y= x^4+2x^3+4x^2+8x+16 Not in the real number system. If you plot the function, you will see the minimum is at x=-1.1 (approx) and y is positive. At no x does the function equal zero, so

    asked by kristie on July 26, 2006
  10. algebra

    if a quadratic equation with real coefficents has a discriminant of 10, then what type of roots does it have? A-2 real, rational roots B-2 real, irrational roots C-1 real, irrational roots D-2 imaginary roots

    asked by brroooee on March 26, 2015

More Similar Questions