Question

15x²–16x+1=0, Solve the given equation using the method of factorization.

Answer 1

$15 {x}^{2} - 16x + 1 = 0 \\ \\ = > 15 {x}^{2} - 15x - x + 1 = 0 \\ \\ = > 15x(x - 1) - (x - 1) = 0 \\ \\ = > (15 x - 1)(x - 1) = 0 \\ \\ \\ 15x - 1 = 0 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: \: x - 1 = 0 \\ \\ = > 15x = 1 \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: x - 1 = 0 \\ \\ = > x = \frac{1}{15 \: \: \: \: } \: \: \: \: \: \: \: \: or \: \: \: \: \: \: \: \: x = 1$

Answer 2

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