tell the answer of 9th question of picture
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hope this helps you......
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p(x)=px^2 +5x + r
x=2;1/2
p(2)=p(2)^2+5*2 + r
=4p + 10 + r
p(1/2)=p(1/2)^2+5*1/2+r
=1/4p + 5/2 +r
p(2)=p(1/2)
4p+10+r = 1/4p+5/2+r
4p-1/4p +r-r =5/2-10
(16p-1p)/4=(5-20)/2
15p/4=-15/2
p= -15/2 * 4/15=-2
p(2) = 4p+10+r
= 4*-2+10+r
= -8 +10 +r
= 2+r=0
=r=-2
∴ p=r
x=2;1/2
p(2)=p(2)^2+5*2 + r
=4p + 10 + r
p(1/2)=p(1/2)^2+5*1/2+r
=1/4p + 5/2 +r
p(2)=p(1/2)
4p+10+r = 1/4p+5/2+r
4p-1/4p +r-r =5/2-10
(16p-1p)/4=(5-20)/2
15p/4=-15/2
p= -15/2 * 4/15=-2
p(2) = 4p+10+r
= 4*-2+10+r
= -8 +10 +r
= 2+r=0
=r=-2
∴ p=r
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