Question

6x² -13x+6=0 find the root
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Answer 1

Answer:

Step-by-step explanation:

6x² -13x+6=0

6x² -9x-4x+6=0

3x(2x-3)-2(2x-3)=0

(2x-3)(3x-2)=0

x=3/2 ,2/3

Answer 2

Answer:

$6 {x}^{2} - 13x + 6 = 0 \\ 6 {x}^{2} - 9x - 4x + 6 = 0 \\ 3x(2x - 3) - 2(2x - 3) = 0 \\ (3x - 2)(2x - 3) = 0 \\ x = \frac{3}{2} and \: x = \frac{2}{3}$

3/2 & 2/3 are the roots of the equation.