## Factoring Worksheet1 Solution12

In this page factoring worksheet1 solution12 we are going to see solution of some practice questions from factoring worksheet1.

Question 7:

Solve by using quadratic formula 36 x² – 12 a x + (a² - b²) = 0

Solution:

Now we are going to compare the given equation by ax² + b x + c = 0

a = 36    b = - 12 a     c = (a² - b²)

x = -b ± √(b² – 4 a c)/2a

= [- (-12 a)] ± √([(-12 a)]² – 4 (36) (a² - b²)/2(36)

= 12 a ± √144a² – 144 a² + 144 b2/72

= 12 a ± √144 b²/72

= (12 a ± 12 b)/72

= 12 (a ± b)/72

= (a ± b)/6

x  = (a + b)/6                                x  = (a - b)/6

Question 8:

Solve by using quadratic formula [(x – 1)/(x + 1)] + [(x – 3)/(x – 4)] = 10/3

Solution:

[(x - 4)(x – 1) + (x – 3)(x + 1)]/(x + 1)(x – 4) = 10/3

(x² – 4 x  - x + 4 + x² - 3 x + x – 3)/(x² – 4 x + x – 4) = 10/3

(2 x² –7 x + 1) /(x² – 3 x  – 4) = 10/3

3(2 x² –7 x + 1) = 10(x² – 3 x  – 4)

6 x² – 21 x + 3 = 10 x² – 30 x  – 40

10 x² - 6 x² + 30 x - 21 x - 40 – 3 = 0

4 x² + 9 x - 43 = 0

Now we are going to compare the given equation by ax² + b x + c = 0

x = -b ± √(b² – 4 a c)/2a

a = 4       b = 9       c = -43

= 9 ± √(9)² – 4 (4) (-43)/2(4)

= 9 ± √(81 + 688)/2(4)

= (9 ± √769)/8

x = (9 + √769)/8                             x = (9 - √769)/8

factoring worksheet1 solution12 factoring worksheet1 solution12