Explain “Method of completing square”.
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In mathematics, completing the square is often applied in any computation involving quadratic polynomials. Completing the square is also used to derive the quadratic formula.
To solve a x 2 + b x + 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 x 2 term), is not equal to 1 , divide both sides by a .
3. Add the square of half the coefficient of the x -term, ( b 2 a ) 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 .
To solve a x 2 + b x + 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 x 2 term), is not equal to 1 , divide both sides by a .
3. Add the square of half the coefficient of the x -term, ( b 2 a ) 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 .
Ajeesha15:
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Answer:It is the method in which we have to arrange a quadratic equation in such a way that it is expressible in the identity (a+b)square
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