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

12x+5y==13 -24x-5y=-11 -2x+4y=32 -5x-10y=-20 12x+12y=36 -8x-8y=-8solve and explain
what is the answer to this problem 5n^2+10n+20
how does the circulatory system rely on the respiratory system
a picture has dimensions of 5cm by 10 cm. if you want to enlarge the picture to a size of 31 1/2 cm by 65 by what fraction would you multiply the dimensions?
What Is a word that is to change your beliefs. 7 letters. C as the first letter and e as the fith.
round 81.139 to the nearest tenth
A baseball stadium holds 42,000 people. The number for Saturday's attendance contains a 4 with a value 1/10 the value of the 4 in 42,000. Which could be Saturda
what is the answer to this problem 5n^2+10n+20
what are bubbling leaves and molten rock called from a volcano
Which of the following are humans considered to be? Herbivores Carnivores Omnivores All of the above