Question

X√+3√2x - 8 = 0 by factorization method

Answer 1

Step-by-step solution

3x² - 2x - 8 =0

Dividing by 3 ,

x² - 2/3x - 8/3 = 0

x² - 2/3x + (2/3 × 1/2)² - (2/3 ×1/2)² - 8/3 = 0

x² - 2/3x + (2/6)²- (2/6)² - 8/3 = 0

x² - 2/3 x + 4/36 - 4/36 - 8/3 = 0

x² - 2/3 x + 4/36 = 4/36 + 8/3

(x - 2/6)² = 4/36 + 8/3

(x - 2/6)² = 25/9

(x - 2/6) = √(25/9)

x - 2/6 = 5/3

x = 5/3 + 2/6

x = 10/6 + 2/6

∴ x = 12/6 = 2

x = 2

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