cabriantenpenny
cabriantenpenny cabriantenpenny
  • 03-10-2018
  • Mathematics
contestada

Find the solutions of the given equation.

25x^2+64=289

Find the solutions of the given equation 25x264289 class=

Respuesta :

Luv2Teach
Luv2Teach Luv2Teach
  • 07-06-2019

Answer:

D

Step-by-step explanation:

Start by subtracting 64 from both sides:

[tex]25x^2=225[/tex]

Factor this by taking roots.  Divide both sides by 25 first:

[tex]x^2=9[/tex]

We "undo" a square by taking the square roots of both sides.  Taking the square root leaves the possibilities of both the positive and negative roots of 9.  Therefore, the solutions to this are

[tex]x=\sqrt{3},-\sqrt{3}[/tex]

Answer Link

Otras preguntas

What two universities did Barack Obama graduate from? Harvard Law School Occidental College University of Hawaii Columbia University
Organisms that live in deciduous forests have developed unique adaptations that aid in their survival. Which of the following is not an adaptation that characte
A rectangle has an area of 112 square units. If its width was half as long and its length was 8 times as long, what would be its new area?
What was a cause of the Russian Revolution?
Unlike clip art, you cannot resize a photograph using the mouse. a. True b. False
A _________ is an economic system that does not use money for trade. a. bill of exchange c. domestic system b. barter economy d. market economy
Whats the meaning of altitude?
the highland cow is mention twice in this article explain what it represents and its significance in nelson's life
The Boers left Cape Colony to begin what two states?
Which of the following types of organelles are most important in providing a cell with energy