Question

it the sum of the zeroes of the polynomial
p(x) = 2x² - 3 Kx² + 4x-5 is 6, then value of k is ( )
a)2 b) 4
c)-2 d)-4​

Answer 1

Answer:

k=8/9

Step-by-step explanation:

Let zeroes be y and z

• Then y+z = - b/a but y+z =6(given)[b=4 and a=(2-3k)]
• 6= - 4/(2-3k)
• 6(2-3k)= - 4
• 12-18k= - 4
• 12+4=18k
• K=16/18 or 8/9

Verification :

2x²-3*8/9*x²+4x-5

2x²-8/3*x²+4x-5

(6x²-8x²+12x-15)/3

-2x²/3+12x/3-15/3

Sum of zeroes is 6

6 = -b/a

6= -(12/3)/(-2/3)

6= -12/3*3/-2

6= -12/-2

6= 12/2

6=6

Hence verified