Factoring Worksheet1 Solution9

In this page factoring worksheet1 solution9 we are going to see solution of some practice questions from factoring worksheet1.

Question 1:

Solve by using quadratic formula x² – 7 x + 12 = 0

Solution:

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

a = 1                   b = - 7                      c = 12

x = -b ± √(b² – 4 a c)/2a

 x = -(-7) ±√[(-7)2 – 4 (1)(12)]/2(1)

x = 7 ±√[49 – 48]/2

x = 7 ± √1/2

x = (7 + 1)/2                x = (7 – 1)/2

x = 8/2                x = 6/2

x = 4                    x = 3

Verification:

x² – 7 x + 12 = 0

if x = 4

 4² – 7(4) + 12 = 0

 16 - 28 + 12 = 0

   28 - 28 = 0

    0 = 0

if x = 3

 3² – 7(3) + 12 = 0

 9 - 21 + 12 = 0

   21 - 21 = 0

    0 = 0

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Question 2:

15x² – 11 x + 2 = 0

Solution:

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

a = 15                   b = - 11                      c = 2

x = -b ± √(b² – 4 a c)/2a

 x = -(-11) ±√[(-11)2 – 4 (15)(2)]/2(15)

x = 11 ±√(121 –120)/30

x = 11 ± √1/30

x = (11 + 1)/30                x = (11 – 1)/30

x = 12/30                x = 10/30

x = 2/5                     x = 1/3

Verification:

15x² – 11 x + 2 = 0

if x = 2/5

 15 (2/5)² – 11 (2/5) + 2 = 0

  (12/5) - (22/5) + 2 = 0

   (12 - 22 + 10)/5 = 0

            (22 - 22)/5 = 0

                0 = 0

15x² – 11 x + 2 = 0

if x = 1/3

 15 (1/3)² – 11 (1/3) + 2 = 0

  (15/9) - (11/3) + 2 = 0

   (15 - 33 + 18)/3 = 0

            (15 + 18 - 33)/3 = 0

                (33 - 33)/0 = 0

                        0 = 0

factoring worksheet1 solution9 factoring worksheet1 solution9

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