Question

If alpha and beta are the zeroes of the polynomial x^2+8x+6 . From the polynomial whose zeroes are A) 1/alpha ^2 and 1/ beta^2 B) alpha - beta, alpha + beta​

Answer 1

Correct Question

If alpha and beta are the zeroes of the polynomial x^2+5x+6 . From the polynomial whose zeroes are

1. 1/alpha ^2 and 1/ beta^2
2. alpha - beta
3. alpha + beta

Replacing

$\alpha=A\rightarrow\beta=B$

Given

A polynomial x²+8x+6

whose Zeroes are A and B

To Find

• 1/A²+ 1/B²
• A-B
• A+B

Solution

x²+5x+6

=>x²+3x+2x+6

=>x(X+3)+2(X+3)

=>(X+2) (X+3)

Zeroes are X=-2,-3

Now

A= -2

B= -3

we know that

• A+B= -b/a
• A+B= -5

• AB = c/a
• =6

Now

1/A²+ 1/B²

=>A²+B²/A²B²

=>-5/36

• A-B = -2 - (-3)

= 1