2x 2 7x 3 0 solve by completing the square


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Find the roots of the equation 2x^2-7x+3=0 by completing the square method

Answered by admin @



2x^2-7x=-3
X^2-7x/2=-3/2
X^2-2x1/2x7x/2=-3/2
X^2-2x1/2x7x/2+(7/4)^2=-3/2+(7/4)^2
(X-7/4)^2=-3/2+49/16
(X-7/4)^2=25/16
X-7/4=+or -5/4
x=+5/4+7/4
X=12/4=3
Also
X=-5/4+7/4
2/4=1/2
Hence x=3 and 1/2

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