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

The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
What would I put for the digit valuenumber 601,099 in the ten thousand place+
3312 divided by 48 long division
What rules does Jonas's father disobey
Brandon owns nearly 2 times as many CDs ads Ingrid. Brandon owns 56 CDs. Write an equation and use it to estimate the number n of CDs Ingrid owns.
What is a distinct factor in math?
What is the rounding or compatible numbers to estimate the sum of 87+34
what does alignment mean in dance?
describe the relationship between the value of a dollar and the value of a dime
For what reason was the "Union Party" created? Who were its candidates?