f(x)=3x square minus 1 x=minus 1/√3 and +2/√3
Answers
Answer:
Sorry don't now the answer
Answer:
+13
Step-by-step explanation:
(i) p(x)=3x+1,x=−1/3
On putting x=−1/3
p(x)=3x+1
p(−1/3)=3(−1/3)+1
=−1+1=0
∴−1/3 is a zero of p(x).
(ii) p(x)=5x–π, x=4/5
For, x=4/5
P(x)=5x-π
p(4/5)=5(4/5)–π
=4−π
4/5 is not a zero of p(x).
(iii) p(x)=x²−1,x=1,−1
On putting, x=1,−1
p(x)=x²−1
p(1)=(1)²−1
=1−1
=0
p(−1)=(-1)²−1
=1−1=0
1,−1 are zeros of p(x).
(iv) p(x)=(x+1)(x–2),x=−1,2
On putting, x=−1,2
p(x)=(x+1)(x–2)
p(−1)=(−1+1)(−1–2)
=((0)(−3))
=0
p(2)=(2+1)(2–2)
=(3)(0)
=0
−1,2 are zeros of p(x).
(v) p(x)=x²,x=0
On putting x=0
p(x)=0² =0
∴0 is a zero of p(x).
(vi) p(x)=lx+m,x=−m/l
On putting ,x−m/l
p(x)=lx+m
∴p(−m/l)=l(−m/l)+m
=−m+m=0
∴−m/l is a zero of p(x).
(vii) p(x)=3x²−1,
x=−1/√3 ,2/√3
On putting x=−1/√3 ,2/√3
p(x)=3x²−1
p(−1/√3)=3(−1/√3)²−1
=3(1/3)−1
=1−1=0
p(2/√3)=3(2/√3)²−1
=3(4/3)−1
=4−1=3≠0
−1/√ 3 is a zero of p(x) but 2/√3 is not a zero of p(x).
(viii) p(x)=2x+1,x=1/2
On putting , x=1/2
p(x)=2x+1
p(1/2)=2(1/2)+1
=1+1=2≠0
1/2 is not a zero of p(x).