jananik926 jananik926
  • 03-09-2021
  • Mathematics
contestada

The difference between the root of the quadratic equation x^2-10x+ q=0 is 6. Find q.

Respuesta :

cwrw238 cwrw238
  • 03-09-2021

Answer:

Step-by-step explanation:

Let A and B be the roots of the equation

x^2 - 10x + q = 0

A + B = -b/a and AB = c/a ( for the equation ax^2 + bx + c = 0).

So:-

A + B = 10

A - B = 6     (given)

Adding the 2 above equations:

2A = 16

A = 8.

so B = 10-8 = 2.

Now AB = q  (as AB = c/a)

so q = 8*2 = 16.

Answer Link

Otras preguntas

How many atoms are equal to 1.5 moles of helium
You are given n = 5 measurements: 5, 3, 3, 8, 8. (a) calculate the sample mean, x. (enter your answer to one decimal place.)
X(2•x)= 4•5•y You get 77 points in you can help me with this!
The colonial trend of having local governments that were increasingly independent from British control was most likely caused by
Conjunctions do not... a. join sentences together. b. join pronouns and antecedents. c. join clauses. d. join items in a list.
Which is greater, 13/35 or 2/5?
the elkwood aquatic society is working wirh various reptiles species to increase their populations. in their latest effort , the initial population of 450 endan
What is the meaning of an eye for an eye makes the whole world blind?
Under what conditions does Jefferson think that people have a right to overthrow their government?
Who said, "if this be treason, make the most of it"? patrick henry nathan hale john paul jones?