Find the roots of the following quadratic equation 2x^2 - 2√2x + 1 =0
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Answer:
1/√2, 1/√2
Step-by-step explanation:
2x² -2√2x +1 = 0
By splitting the middle term
= 2x² -√2x - √2x +1 = 0
taking common
√2x(√2x-1) -1(√2x-1) = 0
(√2x-1)(√2x-1) = 0
∴ √2x-1 = 0 ,or, √2x-1=0
x= 1/√2, 1/√2
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