Solve the following quadratic equations by factorization:3x²=-11x=10
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X = 2, 5/3
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Taking the quadratic equation to be 3x² -11x + 10 = 0, please find the solution below.
3x² -11x +10 = 0
Factors of +30 are -6 and -5.
So 3x² -11x +10 = 0 can be written as:
3x² -6x -5x +10 = 0
3x (x -2) -5 (x -2) = 0
(x - 2) (3x -5) = 0
So the factors are (x - 2) and (3x -5).
If x - 2 = 0, then x = +2
If 3x -5 = 0, then x = +5/3
Hence solved.
X = 2, 5/3
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