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
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