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QUADRATIC EQUATIONS

  • Completing The Squares Method Contd…

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Solve ax2 + bx + c = 0 by completing square method.

Sol:

ax2 + bx + c = 0

ax2 + bx + c = 0

Coefficient of 1st term is not 1

Dividing throughout by a, we get

1) Coefficient of first term should be 1

2) Constant on the RHS

…………(i)

3) Find the third term

Third term =

=

=

=

4) Add third term on both the sides

5) Express L.H.S. in square form.

6) Take square root & write the solution

 

This is the formula

to find value of ‘x’

Same denominator, take it common

Divide ‘a’ by ‘a’

to make it 1