
Example: Solve 2(x6)^{2} + 7 = 19  (x6)^{2}. Solution: Let x6 = a, the the given equation becomes, 2(a)^{2} + 7 = 19  (a)^{2} 2a^{2} + 7  19 + a^{2} = 0 3a^{2}  12 = 0 a^{2} = 12/3 a^{2} = 4 Taking square root on both sides a = ±2 But a = x  6 x  6 = 2 or x  6 = 2 x = 6 + 2 or x = 2 + 6 x = 8 or x = 4
Verification:
When x = 4Þ 2(x  6)^{2} = 19  (x  6)^{2} Directions: Solve the following problems. Also write at least ten examples of your own. 