a: P(x)=7x^5+1/2x^2-x-9/2
Q(x)=-7x^5+1/4x^2+x+5/2
M(x)=P(x)+Q(x)=3/4x^2-2
M(x)=0
=>3/4x^2-2=0
=>x^2=2:3/4=2*4/3=8/3
=>\(x=\pm\dfrac{2\sqrt{6}}{3}\)
b: N(x)=P(x)-Q(x)
=7x^5+1/2x^2-x-9/2+7x^5-1/4x^2-x-5/2
=14x^5-1/4x^2-2x-7
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