what is formula for completing the square
Answers
Answer:
Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve ax2+bx+c=0 by completing the square: 1. ... Add the square of half the coefficient of the x -term, (b2a)2 to both sides of the equation.
Step-by-step explanation:
To solve ax2+bx+c=0 by completing the square:
1. Transform the equation so that the constant term, c , is alone on the right side.
2. If a , the leading coefficient (the coefficient of the x2 term), is not equal to 1 , divide both sides by a .
3. Add the square of half the coefficient of the x -term, (
b
2a
)2 to both sides of the equation.
4. Factor the left side as the square of a binomial.
5. Take the square root of both sides. (Remember: (x+q)2=r is equivalent to x+q=±
√
r
.)
6. Solve for x .