Find the roots of equation, if they exists, by applying the quadratic formula:
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Given Equation is 2x^2 - 2√2x + 1 = 0.
Here, a = √2, b = -2√2, c = 1.
We know that D = b^2 - 4ac
⇒ (2√2)^2 - 4(2)(1)
⇒ 8 - 8
⇒ 0.
Now,
The equation is:
(i)
⇒ (-b + √D)/2a
⇒ (2√2 + 0)/2(2)
⇒ 2√2/4
⇒ √2/2
(ii)
⇒ (-b - √D)/2a
⇒ (-2√2 - 0)/2(2)
⇒ 2√2/4
⇒ √2/2
Therefore, the roots are √2/2 and √2/2.
Hope it helps!
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