SOLUTION: HELP!!!! Solve for x in terms of a???? 1. 6A^2X^2 - 11AX = 10 ????????????

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: HELP!!!! Solve for x in terms of a???? 1. 6A^2X^2 - 11AX = 10 ????????????      Log On


   

Question 106315This question is from textbook
: HELP!!!! Solve for x in terms of a????
1. 6A^2X^2 - 11AX = 10 ???????????? This question is from textbook

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
6A%5E2x%5E2-11Ax=10Original equation
6A%5E2x%5E2-11Ax-10=0Use the additive inverse of 10.
%282Ax-5%29%2A%283Ax%2B2%29=0Factor the quadratic equation.
First solution
%282Ax-5%29=0
2Ax=5
highlight%28x=5%2F%282A%29%29
Second solution
%283Ax%2B2%29=0
3Ax=-2
highlight%28x=-2%2F%283A%29%29
Check your answers.
6A%5E2x%5E2-11Ax=10
6A%5E2%285%2F%282A%29%29%5E2-11A%285%2F%282A%29%29=10
6A%5E2%2825%2F%284A%5E2%29%29-55%2F2=10
75%2F2-55%2F2=10
10=10
Good answer.
6A%5E2x%5E2-11Ax=10
6A%5E2%28-2%2F%283A%29%29%5E2-11A%28-2%2F%283A%29%29=10
6A%5E2%284%2F9A%5E2%29%2B22%2F3=10
8%2F3%2B22%2F3=10
10=10
Good answer.