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Completing the  square?

Simpler steps on how and some examples from easy to difficult ones.

Also, explanations on how to do this and that, why did you get this answer or that, etc.

Sagot :

Empressmilleridn
To solve the quadratic equation ax2 + bx + c = 0 by completing the square, the following steps can be followed:
1. Divide both sides of the equation by a then simplify.
2. Write the equation such that the terms with variables are on the left side of the equation and the constant term is on the right side.
3. Add the square of one-half of the coefficient of x on both sides of the resulting equation. The left side of the equation becomes a perfect square trinomial.
4. Express the perfect square trinomial on the left side of the equation as a square of a binomial.
5. Solve the resulting quadratic equation by extracting the square root.
6. Solve the resulting linear equations.
7. Check the solutions obtained against the original equation.

 


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