How can we solve any equation by completing method?

1.	How can we solve any equation by completing method?
Answer» To apply completing the square method, the quadratic equation must be in the form of\xa0ax2\xa0+ bx + c = 0Step 1 :In the given quadratic equation ax2\xa0+ bx + c = 0, divide the complete equation by a (coefficient of x2).\xa0If the coefficient of x2\xa0is 1 (a = 1), the above process is not required.\xa0Step 2 :Move the number term (constant) to the right side of the equation.Step 3 :In the result of step 2, write the "x" term as a multiple of 2.\xa0Examples :6x should be written as 2(3)(x).5x should be written as 2(x)(5/2).\xa0Step 4 :The result of step 3 will be in the form of\xa0x2\xa0+ 2(x)y = kStep 4 :Now add y2\xa0to each side to complete the square on the left side of the equation. Then,\xa0x2\xa0+ 2(x)y + y2 = k + y2Step 5 :In the result of step 4, if we use the algebraic identity(a + b)2 = a2\xa0+ 2ab + b2on the left side of the equation, we get\xa0(x + y)2 = k + y2Step 6 :Solve (x + y)2 = k + y2\xa0for x by taking square root on both sides.\xa0\xa0

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