Question

If and  are the zeroes of the polynomial g(x) = x2

- 7x + 6, then

find the value of + ​

Answer 1

SOLUTION

GIVEN

a and b are the zeroes of the polynomial

g(x) = x² - 7x + 6

TO DETERMINE

The value of

$\displaystyle \sf{ \frac{1}{a} + \frac{1}{b} }$

EVALUATION

Here it is given that a and b are the zeroes of the polynomial g(x) = x² - 7x + 6

Sum of the zeroes = a + b = 7

Product of the Zeros = ab = 6

Hence

$\displaystyle \sf{ \frac{1}{a} + \frac{1}{b} }$

$\displaystyle \sf{ = \frac{b + a}{ab} }$

$\displaystyle \sf{ = \frac{a + b}{ab} }$

$\displaystyle \sf{ = \frac{7}{6} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. find the equation that formed by increasing each root of 2x²-3x-1=0by 1

https://brainly.in/question/33063519

2. find the equation that formed by squaring each root of the equation x²+3x-2=0

https://brainly.in/question/33064705