The steps taken to complete the square is:
x² - 18x - 2 + 2= 0 + 2
x² - 18x = 2
x² - 18x + 81= 2 + 81
(x - 9)² = 83
x - 9 = ±√83
x = 9 + √83 or x = 9 - √83
A quadratic equation is a polynomial of degree 2. The standard form of a quadratic equation is given by:
ax² + bx + c = 0
Where a,b and c are constants
A quadratic equation always has two solutions.
Given the quadratic equation x² - 18x - 2 = 0, the steps below are used to solve the equation using completing the square method:
x² - 18x - 2 = 0
Add 2 to both sides
x² - 18x - 2 + 2= 0 + 2
x² - 18x = 2
Add to both sides the square of half of the coefficient of x (that is 81)
x² - 18x + 81= 2 + 81
(x - 9)² = 83
x - 9 = ±√83
x = 9 + √83 or x = 9 - √83
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