Factorise x^2-√2x+3/2
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x^2 - √2x + 3/2
2x^2 - 2√2x + 3 = 0
by quadratic formula ,,,,
(-b^2 +- √b^2 -4ac ) / 2a
where , a= 2 , b= -2√2 , c= 3
therefore,,,
[-(-2√2)^2 +- √(-2√2)^2 - 4(2)(3) ] / 2(2)
[ 8 +- √8-24 ] / 4
here you can see that d is negative
so this equation not have any zeroes
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