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

A rectangle whose perimeter is 80 m has an area of 384 m^2. Find the dimensions of the rectangle.
I need help on my English homework I have no
Any facts on string art? I can't find any!
Give all solutions if the nonlinear system of equations, including those with no real complex components. y=x^2+6x 4x-y=-24
Suppose x + y = 6 and xy = 4. Find the value of x² y + xy² without solving the equations.
A circle has an area of 16 pie square meters.  What is the circumference of the circle?  Please show how to solve.  Thank you
Who was the African-American who called the war with Mexico disgraceful and cruel? Why?
Suppose x + y = 6 and xy = 4. Find the value of x² y + xy² without solving the equations.
A swimming pool  20 m long and 10 m wide is surrounded by a deck of uniform width. The total area of the swimming pool and the deck is 704 m^2. Find the width o
Who were the Britons fighting against in the middle ages?