x²-5x=x+2 Solve The Following equations by using " completing the square " method. Give your answer correct to four significant figures
+9466 x2 - 5x = x + 2
Subtract x from both sides.
x2 - 6x = 2
Take half of the x coefficient, square it, and add that to both sides.
x2 - 6x + 9 = 2 + 9
Now it is a perfect trinomial and you can factor it.
(x - 3)(x - 3) = 11
(x - 3)2 = 11
Take the square root of both sides.
x - 3 = ±√(11)
Add 3 to both sides.
x = ±√(11) + 3
x = √(11) + 3 and x = -√(11) + 3
x ≈ 6.3166 and x ≈ -0.3166
