Question

The value of k for which the for which the polynomial to X^2+5X +K, whose Zeroes are & & B such that & + B² - x B= 24.​

Answer 1

Step-by-step explanation:

x²+5x+k=0

we know that,

&+B= -b/a

= -5

&B= c/a

= k

now,

&² + B² - x B= 24

(&+B)²-2&B -&B=24

(&+B)²-3&B=24

(-5)²-3×k= 24

25-3k= 24

-3k= -1

3k= 1

k= 1/3

#666