6 x square - 7 x + 2
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Answer:
It has 2 real roots at x = 2/3 and x = 1/2
Step-by-step explanation:
6x² - 7x + 2 = 0
Divide by 6 through:
x² - 7/6 x + 1/3 = 0
Subtract 1/3 from both sides:
x² - 7/6 x = - 1/3
Add (b/2)² to both sides:
x² - 7/6 x + (7/12)² = - 1/3 + (7/12)²
Complete the square:
(x - 7/12)² = 1/144
Square root both sides:
x - 7/12 = ±√1/144
x - 7/12 = ±1/12
x = 1/12 + 7/12 or x = - 1/12 + 7/12
x = 2/3 or 1/2
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