Question

SOLVE THE QUADRATIC EQUATION BY THE METHOD COMPLETing THE SQUARE

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Answer 1

Given Equation is 2x^2 - 5x + 3 = 0

= > x^2 - (5/2)x + (3/2) = 0

Adding and subtracting (5/4)^2

= > x^2 - (5x/2) + 3/2 + (5/4)^2 - (5/4)^2 = 0

= > (x - 5/4)^2 + 3/2 - (5/4)^2 = 0

= > (x - 5/4)^2 + 3/2 - 25/16 = 0

= > (x - 5/4)^2 = 25/16 - 3/2  

= > (x - 5/4)^2 = 1/16

= > (x - 5/4) = +1/4,-1/4

Now,

(1)

= > x - 5/4 = 1/4

= > x = (1/4) + (5/4)

= > x = 6/4

= > x = 3/2.



(2)

= > x - 5/4 = -1/4

= > x = -1/4 + 5/4

= > x = 4/4

= > x = 1.


Therefore (3/2) and 1 are the roots of the Quadratic equation.


Hope this helps!

Answer 2

Hi,

Please see the attached file!.


Thanks