Question

check whether the equation 6 x square - 7 x + 2 is equal to zero has real root if it has find them the method by completing square

Answer 1

D = 49 - 48 = 1

since D>0 , it has real roots

now, 6x²-7x+2 = 0

= x² - 7x/6 + 1/3 = 0

= x² + 49/144 - 7x/6 - 49/144 + 1/3 = 0

=(x - 7/6)² = 49/144-1/3

= (x - 7/6)² = 1/144

= x - 7/6 = ±1/12

= x = 14±1/12

= 15/12 , 13/12

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