Question

find the roots of the following quadratic equations by factorisation.3x²-5x+2=0​

Answer 1

Step-by-step explanation:

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

Either, or,

(x - 1)=0. (3x - 2) = 0

=> x = 1. => 3x =2

=> x = 2/3

Therefore, roots of the following quadratic equation is

x = 1. or 2/3

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Answer 2

$3 {x}^{2} - 5x + 2 = 0 \\ 3 {x }^{2} - 3x - 2x + 2 = 0 \\ 3x(x - 1) - 2(x - 1) = 0 \\ (3x - 2)(x - 1) = 0 \\ \\ either \\ (3x - 2) = 0 \\ \: \: \: x = \frac{2}{3} \\ \\ \\ or \\ (x - 1) = 0 \\ \: \: \: \: \: x = 1$

Hence,the roots of the given quadratic equation are 2/3 and 1 .