aaravmalik aaravmalik
  • 02-09-2020
  • Mathematics
contestada

Values of k for which the quadratic equation 2x - kx + k 0 has equal roots is
a)0only
b)4
c)8 only
d)0,8​

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CHERLYNnotCHERRY
CHERLYNnotCHERRY CHERLYNnotCHERRY
  • 02-09-2020

Answer:

The answer is D.

Step-by-step explanation:

We have to apply Discriminant Law. When a quadratic equation, ax² + bx + c = 0 has equal roots so the discriminant will be 0. Then, you have to substitute the values into the formula :

[tex]D = {b}^{2} - 4ac[/tex]

[tex]let \: D = 0 ,a = 2,b = k,c = k[/tex]

[tex]0 = {k}^{2} - 4(2)(k)[/tex]

[tex] {k}^{2} - 8k = 0[/tex]

[tex]k(k - 8) = 0[/tex]

[tex]k = 0[/tex]

[tex]k - 8 = 0[/tex]

[tex]k = 8[/tex]

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