jonasjkjt jonasjkjt
  • 01-05-2022
  • Mathematics
contestada

If x^2 - 6xy = z - 9y^2, make x the subject of the formula

Respuesta :

loneguy
loneguy loneguy
  • 01-05-2022

[tex]~~~~x^2-6xy=z-9y^2\\\\\implies x^2- 2\cdot x\cdot 3y + (3y)^2 - (3y)^2 = z-9y^2\\ \\\implies (x-3y)^2 -9y^2 = z-9y^2\\\\\implies (x-3y)^2 = z\\\\\implies x - 3y =\pm\sqrt z\\\\\implies x = 3y\pm\sqrt z[/tex]

Answer Link

Otras preguntas

United States inventor (born in Scotland) of the telephone (1847-1922)
The 555-foot-tall Washington Monument in Washington, D.C., is an example of which of the following types of structures? a. pyramid b. geodesic dome c. obeli
What is the symbol of the Republican Party?
A plasma membrane and a cell wall 1. Are two names for the same thing 2. Have the same structure and different functions 3. Have different structures and the s
Which poem-turned-song, written by Katharine Lee Bates, was originally called “Pikes Peak” and describes our country’s natural splendor and the patriotism of i
This state and river share a name, which comes from an Indian word meaning “Father of Waters.”
This watery vacation spot is considered part of both California and Nevada. Name this lake
Who was Samuel F.B. Morse?
How to find the inverse of the function f(x)=2x-3 ? Please
The 15th Amendment, which granted African Americans the right to vote, was passed on which date?