Fsc Part 1 Mathematics (Complete Solution)

Q3
Solve the Following equations by factorization

9x2 - 12x - 5 = 0
9x2- 15x + 3x - 5 = 0
[∴ -15 x 3 = 45 and -15 + 3 = -12]
3x(3x - 5) + 1(3x - 5) = 0
(3x + 1)(3x - 5) = 0

Either 3x + 1 = 0      OR      3x - 5 = 0
3x = -1 3x = 5
x = -
1
3
x =
5
3
∴ Soution Set = { -
1
3
,
5
3
}

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