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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exam Other Question

Graph the following equations. Calculate the slope, x-intercept and y-intercept, and label the intercepts on the graph.

y = x + 3.
{(x+1)(2x-1)/(2x-3)(x-3)}-{(x-3)(x+1)/(3-x)(3-2x)}+ {(2x+1)(x+3)/(3-2x)(x-3)



The answer I got was... 3x^2+10x+5/2x^2-9x+9

is this correct?

THANK YOU so much for your help!!