Question

यदि किसी बहुपद x square -7x+k के शून्यक alpha tatha beta hi जहां अल्फा माइनस बीटा बराबर एक तब के का मान ज्ञात कीजिए​

Answer 1

Ans:- Given:-

1. P(x) = x² - 7x + k

2. Alpha and beta are the zeroes of P(x). And take alpha as A and beta as B.

3. A - B = 1 let take it as 1

Now,

As we know that A + B = -b/a

So, A + B = -(-7)/1

=> A + B = 7 let take it as 2

Now,

Add 1 and 2 we get

A - B + A + B = 7 + 1

2A = 8

A = 4.

Therefore B = 3

Now,

A×B = c/a

AB = k/1

12 = k/1

therefore k = 12

hence the value of k is 12

hope it will help you