Solve quadratic by completing the square

Example 1: Find the roots of the quadratic equation x2 + 4x – 5 = 0 by the method of completing the square. Solution: Given quadratic equation is:

Solving Quadratic Equations by Completing the Square

Step 1: When the coefficient of the quadratic term ( a) is different from 1, we divide the quadratic equation by a so that we obtain an equation with a value of a equal to 1: x 2 + b x + c = 0. Step

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Algebra

How to Solve a Quadratic Equation by Completing the Square

The completing the square formula is given by, ax2 + bx + c ⇒ a (x + m)2 + n Where, m = b/2a, n = c – (b 2 /4a) Here, m can be any real number and n is a constant.

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Quadratic Equations By Completing the Square

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