Question

Quadratic formula, find the solution to 2/(1-x) + 3/(1+x) =1/(x-7).

Answer 1

Quadratic formula not necessary to solve this

Answer 2

Would you like to see the steps?

Answer 3

yes please, because the ans. is reduces to 12x-35=0, so x=3.?

Answer 4

Yes that is correct

Answer 5

Do you still need the steps?

Answer 6

Actually, it reduces to 12x - 35 = 1

Answer 7

I don't understand how to solve the problem because the dens., confuse me.

Answer 8

0. Given:
\(\large\frac{2}{1-x} + \frac{3}{1+x} = \frac{1}{x-7}\)

1. Multiply the first fraction by (1+x)/(1+x) to get
\(\large\frac{2+ 2x}{1-x^2} + \frac{3}{1+x} = \frac{1}{x-7}\)

2. Multiply the second fraction by (1-x)/(1-x) to get:
\(\large\frac{2+ 2x}{1-x^2} + \frac{3-3x}{1-x^2} = \frac{1}{x-7}\)

3. Combine fractions on the left side to get:
\(\large\frac{5-x}{1-x^2} = \frac{1}{x-7}\)

4. Cross Multiply to get:
\((5-x)(x-7) = 1-x^2\)

5. Multiply the left side to get:
\(5x-x^2 + 7x - 35 = 1-x^2\)

6. Add x^2 to both sides to get:
\(5x + 7x - 35 = 1\)

7. Combine like terms to get:
\(12x - 35 = 1\)

8. Finish the rest

Answer 9

thank you

Answer 10

I got it, thank you