Question

2x²-2√2x+1=0 find root by quadratic formula​

Answer 1

Answer:

1/√2

Step-by-step explanation:

The quadratic equation is 2x²-2 √2 x+1=0.

Comparing it with standard form of quadratic equation ax² +bx+c=0,we get a=2,b=−2 √2

,c=1 Therefore the roots of the quadratic equation are,

x= −b± √b²_4ac/2a

x = -(-2√2)± √(-2√2)²-4×2×1 / 2×2

= (2√2 )±√8−8 /4

= 2√2 ±0 / 4

=2√2 /4

=√2 / 2

=1/√2