victoryk
victoryk victoryk
  • 22-03-2021
  • Mathematics
contestada

what is the distance between the roots of this equation?

(x+4)(x-6)=0​

Respuesta :

margiro2001 margiro2001
  • 22-03-2021
The answer is 6-(-4)=10
Answer Link
jimrgrant1 jimrgrant1
  • 22-03-2021

Answer:

10 units

Step-by-step explanation:

Given

(x + 4)(x - 6) = 0

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 6 = 0 ⇒ x = 6

The roots are x = - 4 and x = 6

Use the absolute value to find the distance between them, that is

| - 4 - 6 | = | - 10 | = 10 , or

| 6 - (- 4) | = | 6 + 4 | = | 10 | = 10

The distance between the roots is 10 units

Answer Link

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