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

Which of the following is not true about the matter in ecosystems? A) matter is recycled over and over in ecosystems B) Biogeochemical cycles transfer or use nu
f(x) = -2/3x+ 2; find f(-3)​
If 1/10 < x < 1, for what value of x is the value of 10 + 1/x greatest? Help quick pleaseee
Abrakan LincolnWhich battle (Gettysburg, Vicksburg, Bull Run/Manassas, Antietam, Fredericksburg andChancellorsville, or Shiloh) do you think is the most importa
what is 8 - 3x > -25 because i have been wondering all day
The approximate volume of a sphere with a diameter of 10 centimeters is
Perform the following mathematical operation, and report the answer to the appropriate number of significant figures. 7.273 - 12.37 = [?]
Which best describes the withdrawal approach Belgium followed with the Congo in 1960?
Which event occurs during prophase?
In the hydrolysis of ethyl ethanoate, what will happen when the reaction is catalysed by an alkali?