Question

The equation px²-22x+8=0 has two distinct roots a and b
1/α-1/β=9/4
Find the value of p​

Answer 1

Answer:

answer is this question by a u abhi

Answer 2

Answer:

5

Step-by-step explanation:

1

$\frac { 1 } { \alpha } - \frac { 1 } { B } = \frac { 9 } { 4 }$

2.

$\frac { B - \alpha } { \alpha B } = \frac { 9 } { 4 }$

3.

alpha. beta = 8/p

apha + beta = 22/p

$( B - \alpha ) ^ { 2 } = ( \alpha + B ) ^ { 2 } - 4 \alpha B$

$( B - \alpha ) ^ { 2 } = ( \frac { 22 } { p } ) ^ { 2 } - \frac { 4 ( 8 ) } { P }$

$\frac { ( B - \alpha ) ^ { 2 } } { ( \alpha B ) ^ { 2 } } = \frac { 81 } { 16 }$

so putting the values now

$\frac { 484 - 32 p } { 64 } = \frac { 81 } { 16 }$

solving 121 - 8p = 81

40 = 8p

p = 5