rose8666
rose8666 rose8666
  • 06-11-2020
  • Mathematics
contestada

proof that ,if the sum of the reciprocals of the roots of the equation ax^2+bx+c is 1, then b+c=0​

Respuesta :

oscar236
oscar236 oscar236
  • 06-11-2020

Answer:

Below.

Step-by-step explanation:

The sum of the roots ( A AND B) = -b/a and the product = c/a.

If the roots are A and B then 1/A + 1/B = 1

So (A + B) / AB = 1

Substituting:

-b/a / c/a = 1

-b/a * a/c = 1

= -b/c = 1

- b = c

b + c = 0.

Answer Link

Otras preguntas

Where do tectonic activities, such as earthquakes or volcanic eruptions, tend to occur?
According to maslow's hierarchy of needs theory, the highest need category is ______. self-actualization esteem belongingness safety
Help please. Which mass of urea, CO(NH2)2, contains the same mass of nitrogen as 101.1 g of potassium nitrate?
Symbolism in literature is characterized by
If M is the midpoint of LN and LN = 27.8 , find the length of MN
the adaptations of leaves for effective gas exchange
Evaluate −6 − (−4) and explain.
What was created to resist Communist expansion in Asia?
Let W be a point between points U and V on If UV = 13, UW = 2y – 9, and WV = y – 5, solve for y. A. 9 B. 11 C. 13 D. 27
Which one of these characterizes a hydrophilic substance---a substance that is easily mixed with water? Substances that are polar in nature Substances that are