# algrebra 2

can someone please help me im stumped on these two.

use analytical methods to solve the equation.

1+(1/x)=(42/x²)

(7/x-4)=1+(9/x+4)

1. 👍 0
2. 👎 0
3. 👁 71
asked by tom
1. 1 + 1/x = 42/x^2.

Multiply both sides by x^2 and get:
x^2 + x = 42,
x^2 + x - 42 = 0,
(x+7)(x-6) = 0.

x+7 = 0,
x = -7.

x-6 = 0,
x = 6.

Solution Set: x=-7, and 6.

7/(x-4) = 1 + 9/(x+4).

7/(x-4) - 9/(x+4) = 1,
LCM = (x-4)(x+4),
(7(x+4) - 9(x-4)) / (x-4)(x+4) = 1,
(7x+28-9x+36) / (x-4)(x+4) = 1,
(-2x+64) / (x--4)(x+4) = 1,
Cross Multiply:
(x-4)(x+4) = -2x + 64,
x^2 - 16 = -2x+64,
x^2 + 2x - 80 = 0,
(x-8)(x+10) = 0.

x-8 = 0,
x = 8.

x+10 = 0,
x = -10.

Solution Set: x = 8, and -10.

1. 👍 0
2. 👎 0
posted by Henry

## Similar Questions

1. ### algebra 2

Use analytical and graphical methods to solve the inequality. (3x+6)/(7x©÷+5)>0 m©ø-4m¡Ã0

asked by help on July 9, 2011
2. ### algebra 2

use analytical and graphical methods to solve the inequality. x^3+10x^2+31¡Ü-30 (2x/x+1)¡Ü(4/x-3)

asked by help on July 9, 2011
3. ### algebra 2

use analytical and graphical methods to solve the inequality. x©ø+10x©÷+31 ¡ -30 (2x/x+1)¡(4/x-3)

asked by help on July 9, 2011
4. ### algebra 2

use analytical and graphical methods to solve the inequality. x^3+10x^2+31

asked by help on July 9, 2011
5. ### Algebra II

Use analytical and graphical methods to solve the inequality: x©ø+10x©÷+31x¡-30 (2x)/(x+1)¡(4)/(x-3)

asked by N/A on July 6, 2011
6. ### CHEMISTRY

how can different steps in the analytical process help in solving probs in Analytical Chemistry

asked by Patrick on November 26, 2014
7. ### Math

Hi, I need help on this problem:Solve the system of equation by giving an ordered pair for 14x +3y = 115 7x +3y = 80 Use the 3 Methods in your work. Thank You, I am not sure how to use graphing, substitution, and elimination,

asked by Kaashif on January 1, 2016
8. ### Ninth grade

How would I solve this? I'm totally stumped and I need some help. Solve by elimination 3x-2y=-4 and under it is 7x-4y=-6 Any clue? Thanks!

asked by Allyson on June 9, 2011
9. ### Math

Whats the solution of 2(h−8)−h=h−16? This has me stumped, can you also explain how to do this problem, so i can use that if i get stumped on another question?

asked by Clorox on September 20, 2018
10. ### Human Resource Management

Consider these methods for performance appraisal: trait methods, behavioral methods, and results methods. Then select an industry or organization that has many occupational positions within it (the retail industry, the

asked by Lisa on March 29, 2010

More Similar Questions