Question

solve the equation 2x^2-5x+3=0 by the method of completing square

Answer 1

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Answer 2

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SOLVE THE EQUATION !

By the method of completing square .

• Completing the square method is the another method of finding the roots of quadratic equations.

We have,

2x²- 5x + 3 = 0

x² - 5/2x + 3/2 = 0               ( Dividing all by 2 )

x² - 5/2x = - 3/2                   ( Shifting the constant term on RHS. )

x² - 2(5/4)x + (5/4)² = ( 5/4 )² - 3/2  

( x-5/4 )² = 25/16 - 3/2

( x - 5/4 )² = 1/16

x-5/4 = ± 1/4

x = 5/4 ± 1/4

x= 5/4 + 1/4

= 6/4

x = 5/4 - 1/4

x = 4/4

x = 3/2   or, x = 1

Hence, the roots of the quadratic equations are :-

2x²- 5x + 3 = 0  are 3/2 and 1.