Question

verify whether 1/√2,-1/√2are the zero of the polynomial 2x²-1​

Answer 1

Answer:

yes

Step-by-step explanation:

2x²-1=0

2x²=1

x²=1/2

x=+-1/√2

verification:

2(1/√2)²-1=2/2 -1=0

2(-1/√2)²-1=2/2 -1=0

Answer 2

Answer:

1/√2 and -1/√2 are the zeroes of 2x²-1

Step-by-step explanation:

Given polynomial is p(x)=2x²-1

To get zeroes we write p(x)=0

=>2x²-1=0

=>2x²=1

=>x²=1/2

=>x=+-√(1/2)

=>x=1/√2 or -1/√2

(or)

2x²-1=0

=>(√2)²x²-1²=0

=>(√2x)²-1²=0

=>(√2x+1)(√2x-1)=0

=>√2x+1=0 or √2x-1=0

= x=-1/√2 or x=1/√2

The zeroes are 1/√2 and -1/√2