Question

6x²-13x+5=0 slove this question

Answer 1

$x = 1 \: \: \: or \: \: \: x = \frac{5}{6}$

Step-by-step explanation:

$6 {x}^{2} - 13x + 5 = 0 \\ 6 {x}^{2} - 6x - 5x + 5 = 0 \\ 6x(x - 1) - 5(x - 1) = 0$

$(x - 1)(6x - 5) = 0 \\ hence \\ (x - 1) = 0 \: \: or \: (6x - 5) = 0$

$x = 1 \: \: \: or \: \: \: 6x = 5 \\ x = 1 \: \: \: or \: \: \: x = \frac{5}{6}$

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Answer 2

Answer:

$6x {}^{2} - 10x - 3x + 5 = 0 \\ 2x(3x - 5) - 1(3x - 5) = 0 \\ (2x - 1)(3x - 5) = 0$

x = 1/2 or 5/3