Question

X^2-2x(1+3k)+7(3+2k)=0
Plzz find the value of k urgent
I’ll mark them as brainliest plzz

Answer 1

Answer:

x² - 2x(1 + 3k) +7(3 + 2k) = 0

or

x² - 2(1 + 3k)x +7(3 + 2k) = 0

roots are equal

we have to find the value of k =?

now

we know that an equation have equal roots if and only if D = 0

=> b² -4ac = 0

here comparing the equation with

ax² + bx + c = 0

here

a= 1, b =  2(1 + 3k) and c=  7(3 + 2k)

now

 b² - 4ac = 0

=  [ 2(1 + 3k) ]² - 4 ×1×7(3 + 2k)  = 0

= 4×(1 + 3k)² - 4×7(3 + 2k) = 0

= 4(1 + 9k² + 6k) - 4(21 +14k) =0

= (1 + 9k² + 6k) - (21 +14k) =0

=> 9k² - 8k -20 = 0

 now solving the equation we get

= 9k² - 18k + 10k - 20 = 0

= 9k( k- 2)  + 10(k -2) =0

=> 9k +10=0 and k -2 = 0

=> k = -10/9 and 2 answer

plz mark it as brainliest!!

Answer 2

Answer:

K=2 and - 10/9

Step-by-step explanation:

Hope it is useful to you and please follow, comment, Branillest me if you like it.