## Factoring Worksheet1 Solution3

In this page factoring worksheet1 solution3 we are going to see solution of some practice questions from factoring worksheet1.

Question 5:

Solve by factoring method 3 x – (8/x) = 2

Solution:

(3 x² – 8)/x = 2

(3 x² – 8) =2 x

3 x² - 2 x – 8 = 0

3 x² - 6 x + 4 x – 8 = 0

3 x (x – 2) + 4 (x – 2) = 0

(3 x + 4) (x – 2) = 0

3 x + 4 = 0                 x – 2 = 0

3x = -4                       x = 2

x = -4/3

Verification:

3 x² - 2 x – 8 = 0

if x = -4/3

3 (-4/3)² - 2(-4/3) – 8 = 0

(16/3) + (8/3) - 8 = 0

(16 + 8 - 24)/3 = 0

(24 - 24)/3 = 0

0 = 0

if x = 2

3 (2)² - 2 (2) – 8 = 0

3 (4) - 4 - 8 = 0

12 - 4 - 8 = 0

12 - 12 = 0

0 = 0

Question 6:

x + (1/x) = (26/5)

Solution:

(x² + 1)/x = 26/5

5 (x² + 1) = 26 x

5 x² + 5 = 26 x

5 x² - 26 x + 5 = 0

5 x² - 25 x – x  + 5 = 0

5 x (x -5) – 1(x – 5) = 0

(5 x – 1) (x – 5) = 0

5 x – 1 = 0             x – 5 =0

5 x = 1                   x = 5

x = 1/5

Verification:

5 x² - 26 x + 5 = 0

if x = 1/5

5(1/5)² - 26(1/5) + 5 = 0

(1/5) - (26/5) + 5 = 0

(1 - 26 + 25)/5 = 0

(26 - 26)/5 = 0

0/5 = 0

0 = 0

if x = 5

5 (5)² - 26(5) + 5 = 0

5 (25) - 130 + 5 = 0

125 + 5 - 130 = 0

130 - 130 = 0

0 = 0

factoring worksheet1 solution3 factoring worksheet1 solution3