josnajoshan josnajoshan
  • 10-06-2020
  • Mathematics
contestada

Find the value of k such that the quadratic equation x(x-2k)+6=0 has real and equal roots

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Toodles568
Toodles568 Toodles568
  • 10-06-2020

Answer:

k= [tex]\frac{x^{2}+6 }{2x}[/tex]

Step-by-step explanation:

x(x−2k)+6=0

Step 1: Add -x^2 to both sides.

−2kx+x2+6+−x2=0+−x2

−2kx+6=−x2

Step 2: Add -6 to both sides.

−2kx+6+−6=−x2+−6

−2kx=−x2−6

Step 3: Divide both sides by -2x.

−2kx /−2x  = −x2−6 /−2x

k =

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