Question

3x2 – 5x + 2 = 0. by completing square method​

Answer 1

Answer:

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Answer 2

Step-by-step explanation:

$3 {x }^{2} - 5x + 2 = 0\\ >3(3 {x}^{2} - 5x + 2) = 3 \times 0 \\ > 9 {x }^{2} - 15x + 6 = 0 \\ > (3 {x})^{2} - 2 \times 3x \times 2 + 2 ^{2} = 3x - 2 \\ > (3x - 2) ^{2} = (3x - 2) \\ > (3x - 2) ^{2} - (3x - 2) = 0 \\ > (3x - 2)(3x - 2 - 1) = 0 \\ > (3x - 2)(3x - 3) = 0$

either,

$3x - 2 = 0 \\ > 3x = 2 \\ > x = \frac{3}{2}$

or,

$3x - 3 = 0 \\ > 3x = 3 \\ > x = \frac{ 3}{3} \\ > x = 1$

so the value of x,,,

$x = \frac{3}{2} \\ x = 1$