Question

The equation 2x² - 12x + k = 0 has equal roots. Find k. *

Answer 1

Answer:

18

Step-by-step explanation:

ax²+bx+c=0, sum of roots = -b/a, product of roots = c/a

Sum of roots in given equation:

• -b/a= -(-12)/2=12/2=6

• roots are equal so, each root =6/2=3

product of roots:

• c/a= k/2
• k/2= 3*3   equal roots
• k=2*9=18

• k=18

Answer is 18