Question

Find the roots of the following quadratic equations, if they exist, using the quadratic formula:
(i) x² + 4x + 5 = 0 (ii) 2x² – 2v2x + 1 = 0

Answer 1

1 st answer is roots does not exist.

Answer 2

Answer:

1.x²+4x+5=0

Step-by-step explanation:

ax²+4x+5=0

Factors of 5

=1×5 and 1-5=4

By the splitting the middle term

We get

x²+5x-x-5=0

( Her - + - = +)

x(x+5)-1(x+5)=0

(x+5) (x-1)=0

x+5=0 ,x=-5

x-1=0 ,x=1

2. 2x²-2√2+1=0

2x²-√2x-√2x+1

√2(√2x-1) -1(√2-1)=0

(√2x-1 ) (√2x-1)

(√2x-1) =0 ,

x=1/√2

(√2x-1)=0 ,

x=1/√2