Question

If a + b = 4 and ab = 3; find
1/b2
+
1/a2​

Answer 1

Step-by-step explanation:

Given:- a+b=4

And ab=3

$\frac{1}{ {b}^{2} } + \frac{1}{ {a}^{2} }$

$= \frac{ {a}^{2} + {b}^{2} }{ {a}^{2} \times {b}^{2} }$

$= \frac{( {a + b)}^{2} - 2ab }{( {ab)}^{2} }$

$= \frac{( {4)}^{2} - 2 \times 3 }{( {3)}^{2} }$

$= \frac{16 - 6}{9}$

$= \frac{10}{9}$

Answer 2

Answer:

K{x2-4x+3}

Let, k=1

X2-4x+3

a=1

b=-4

C=3

=1/b2 + 1/a2

=1/(-4)2 + 1/(3)2

=1/16 + 1/9

= 9+16/144

25/144