Question

Find the roots of the following quadratic equation if they exist using the quadratic formula is equals to 2 x square - 2 root 2 X + 1

Answer 1

X = 2√2 or X = 2√2

Given :

Quadratic equation ➡ 2x^2 -2√2 +1

To find :

Roots of the quadratic equation using quadratic formula

Explanation :

Using quadratic equation :

= -b ±√b^2-4ac/2a

Comparing the equation 2x^2 - 2√2x + 1 , we get

b = -2√2

a = 2

c = 1

Now ,

= -(-2√2) ± √ (-2√2)^2 - 4(2)(1) / 2(2)

= 2√2 ± √ 8-8 / 4

= 2√2 ± 0 / 4

We obtained two roots :

x = 2√2 + 0/4 ➡ x = √2/2

or ,

x = 2√2 - 0/4 ➡ x = √2/2

Answer 2

Answer:

X 2√2

hope it helped

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