Question

If alpha and beta are the zeros of x square -5x+6, find one by alpha + one by beta -2 alpha and beta

Answer 1

Answer:

hello!

according to your question:

P(x)= x^2-5x+6.

and alpha and beta are the two zeroes of this :

then sum of zeroes = alpha + beta = -b/a = -(-5)/1 = 5.

and, product of zeroes = alpha*beta = c/a = 6.

now, 1/alpha + 1/beta - 2alpha*beta .

first taking LCM of 1/alpha + 1/beta = alpha + beta/alpha*beta - 2alpha*beta.

so using above answers : alpha + beta/alpha*beta - 2alpha*beta = 5/6-2*6

= 5/6-12 = 67/6.

you can also simplify this otherwise this answer also correct.

i hope my answer will satisfy your doubts.

thanks for asking a nice question.

Step-by-step explanation: