Solve the following quadratic equations by factorization:5x²-3x-2=0
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X = 1, -2/5
Step-by-step explanation:
5x²-3x-2=0
Factors of -10 are -5 and +2.
So 5x² -3x -2 = 0 can be written as:
5x² -5x +2x -2 = 0
5x (x -1) +2 (x -1) = 0
(x - 1) (5x +2) = 0
So the factors are (x - 1) and (5x +2).
If x - 1 = 0, then x = +1
If 5x +2 = 0, then x = -2/5
Hence solved.
X = 1, -2/5
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