Factoring Worksheet1 Solution2

In this page factoring worksheet1 solution2 we are going to see solution of some practice questions from factoring worksheet1.

Question 3:

Solve by factoring method √5 x² + 2 x – 3√5 = 0

Solution:

√5 x² + 5 x  - 3 x – 3√5 = 0

√5 x (x + √5) – 3 (x + √5) = 0

(√5 x – 3) (x + √5) = 0

√5 x – 3 = 0                     x + √5 = 0

√5 x = 3                                x = - √5

x = 3/√5

Verification:

√5 x² + 2 x – 3√5 = 0

if x = 3/√5

√5 (3/√5)² + 2 (3/√5) – 3√5 = 0

√5(9/5) + (6/√5) – 3√5 = 0

(9 √5/5) + (6√5/5) - (15√5)/5 = 0

(9 √5+ 6√5 - 15√5)/5 = 0

(15 √5 - 15 √5)/5  = 0

0/5 = 0

0 = 0

Question 4:

Solve by factoring method 3 (x² – 6) = x (x + 7) – 3

Solution:

3 x² – 18 = x² + 7 x – 3

3x² - x² – 7 x – 18 + 3 = 0

2 x² – 7 x – 15 = 0

2 x² – 10 x + 3 x – 15 = 0

2 x (x – 5) + 3( x – 5) = 0

(2 x + 3) (x – 5) = 0

2 x + 3 = 0               x – 5 = 0

2x = -3                       x = 5

x = -3/2

Verification:

2 x² – 7 x – 15 = 0

if x = -3/2

2 (-3/2)² – 7(-3/2) – 15 = 0

2 (9/4) + 21/2 – 15 = 0

(9/2) + (21/2)  - 15 = 0

(9 + 21 - 30)/2 = 0

(30 - 30)/2 = 0

0 = 0

if x = 5

2 x² – 7 x – 15 = 0

2 (5)² - 7(5) - 15 = 0

2 (25) - 35 - 15 = 0

50 - 50 = 0

0 = 0

factoring worksheet1 solution2  factoring worksheet1 solution2