Question

k का मान ज्ञात करो यदि बहुपद x^2-5x+(3k-3)=0 के मूलों का अंतर 11 हैं​

Answer 1

Answer:

k= -7

Step-by-step explanation:

let zeros(मूल) are p & q

p-q=11.....(1) (given) if a is greater than b

p+q= -b/a (मूलों का जोड़)

= -(-5)/1

=5

p+q=5.....(2)

add (1) & (2)

2p=16

p=8

q=5-q [from (2)]

q=5-8

q= -3

now pq= c/a (मूलों का गुणनफल) product of zeros

=( 3k-3 ) / 1

pq=3k-3.....(3)

(8)(-3)=3(k-1)

-8=k-1 (cut by 3)

k= -7