Question

Find out (a) Discriminant, (b) Nature of roots and (c) Roots, using binomial formula of the
quadratic equation 2x² -2 √2x + 1 = 0​

Answer 1

Answer:

a) 0

b) Real and equal

c) 1/√2 and 1/√2

Step-by-step explanation:

2x² -2 √2x + 1 = 0

a= 2, b = -2√2 , c =1

(a) Discriminate

= b²-4ac

= (-2√2)²-4(2)(1)

= 8-8

= 0

(b) Nature of the roots - Real and equal roots

(c) Quadratic formula = -b/2a

= -(-2√2)/2(2)

= 1/√2

Both roots are 1/√2 and 1/√2.