SOLUTION: For what value of the constant k does the quadratic 2x^2 - 5x + k= 0 have a double root?

Algebra.Com
Question 1023627: For what value of the constant k does the quadratic 2x^2 - 5x + k= 0 have a double root?
Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
For what value of the constant k does the quadratic 2x^2 - 5x + k= 0 have a double root?
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Calculate the discriminant d =  = (-5)^2 - 4*2*k = 25 - 8k.

The double root will happen when the discriminant is zero: d = 0.

It gives k = .


RELATED QUESTIONS

Find the constant k such that the quadratic 2x^2 + 3x - 20x + 3x^2 + k has a double... (answered by Edwin McCravy,mccravyedwin)
For what values of k does 2x^2 - 5x - k = 0 have no real root. Thanks so much in... (answered by TimothyLamb)
For what values of k does the equation 2x squared + (1-k)x+8=0 have a double root? I... (answered by scott8148)
if a and B are the roots of a quadratic equation 2x^2+5x+k=0 where k is constant and the (answered by Edwin McCravy)
Please help me with this question. I have to solve by whichever method is easier. (... (answered by richwmiller,MathTherapy)
Find the value(s) of k for which the equation 3x^2-(k+1)x+k-2=0 has one real double... (answered by reviewermath)
a) For the quadratic equation kx^2 + 2x + 4 = 0, find the value of k so that the roots... (answered by ankor@dixie-net.com)
For which value or values of k, if any, does the quadratic equation in x, (k-8)x^2+kx -1 (answered by ankor@dixie-net.com)
For what value(s) of k does the equation x^1/logx=k have a solution? (answered by Edwin McCravy)