Question

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Concept of Completing square method:-​

Answer 1

Step-by-step explanation:

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: ... Add the square of half the coefficient of the x -term, (b2a)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(x+q)2=r is equivalent to x+q=±r√x+q=±r .)

      6.  Solve for xx .

Example 1:

Solve x2−6x−3=0x2−6x−3=0 by completing the square.

x2−6x=3x2−6x+(−3)2=3+9(x−3)2=12x−3=±12−−√           =±23√x=3±23√x2−6x=3x2−6x+(−3)2=3+9(x−3)2=12x−3=±12           =±23x=3±23

Example 2:

Solve: 7x2−8x+3=07x2−8x+3=0

7x2−8x=−3x2−87x=−37x2−87x+(−47)2=−37+1649(x−47)2=−549x−

Answer 2

Answer:

There are several methods to find the roots of a quadratic equation. One of them is by completing the square. The ways of solving these quadratics have been introduced to the students in Class 10 and 11. In this article, you can learn how to solve a given quadratic equation using the method of completing the square.