every Vllage and toX15. Check whether the equation 6x2 7x+2 0 has real

1.	every Vllage and toX15. Check whether the equation 6x2 7x+2 0 has real roots, if yes, find them bycompleting the square method.
Answer» 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 Answer: It has 2 real roots at x = 2/3 and x = 1/2

every Vllage and toX15. Check whether the equation 6x2 7x+2 0 has real roots, if yes, find them bycompleting the square method.

Answer»

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

Answer: It has 2 real roots at x = 2/3 and x = 1/2