exam Maths Puzzle Numerical Ability

can someone check this for me please!please check this for me
2x^2-6x+3=0
2^2+(-6)+3=0
1^2+(-3)+1.5=0
-3/4^2+x=1.5
x=1.5-(-3)/4^2=0.75
(-3/2)^2+(-0.75)=0
(13/2)=sqrt0.75
and
(-3/2)=-sqrt0.75

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