Find solution of the equation x^2-5x+6 by completing square method
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=x^2-(2+3)x+6
=x^2-2x-3x+6
=x (x-2)-3 (x-2)
=(x-3)(x-2)
=x^2-2x-3x+6
=x (x-2)-3 (x-2)
=(x-3)(x-2)
mysticd:
u did factors of the expression
but she asked completing square method
oh
Answered by
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you posted quadratic expression
x²-5x+6=0
x² - 2*x*5/2 +(5/2)² -(5/2)² +6=0to make square we are adding and sutracting (5/2)²
(x-5/2)²+6 -25/4=0
(x-5/2)²= 25/4-6
(x-5/2)²= (25-24)/4
(x-5/2)²= 1/4
x-5/2 = +or - √1/4
x-5/2 = + or - 1/2
x= 5/2 + or - 1/2
therfore
x=5/2+1/2 or x= 5/2-1/2
x=6/2 or x= 4/2
x=3 or x=2
x²-5x+6=0
x² - 2*x*5/2 +(5/2)² -(5/2)² +6=0to make square we are adding and sutracting (5/2)²
(x-5/2)²+6 -25/4=0
(x-5/2)²= 25/4-6
(x-5/2)²= (25-24)/4
(x-5/2)²= 1/4
x-5/2 = +or - √1/4
x-5/2 = + or - 1/2
x= 5/2 + or - 1/2
therfore
x=5/2+1/2 or x= 5/2-1/2
x=6/2 or x= 4/2
x=3 or x=2
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