Solve the following quadratic equations by factorization:48x²-13x-1=0
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Step-by-step explanation:
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X = -1/16, 1/3
Step-by-step explanation:
48x² -13x -1 = 0
Factors of -48 are -16 and +3.
So 48x² -13x -1 = 0 can be written as:
48x² -16x +3x -1 = 0
16x (3x -1) +1 (3x -1) = 0
(16x + 1) (3x - 1) = 0
So the factors are (16x + 1) and (3x - 1).
If 16x + 1 = 0, then x = -1/16
If 3x - 1 = 0, then x = +1/3
Hence solved.
X = -1/16, 1/3
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