Question

The discriminant of quadratic equation 2x2- 2√2x+1=0 is ________

Answer 1

Answer:

What is the discriminant of 2x^2 + x - 1 = 0 and what does that mean

The discriminant is 9.

A positive discriminant means that there are two real roots. Also, since the discriminant is a perfect square, the two roots are rational.

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2x² - 2√2x + 1 = 0

2x² - √2x - √2x + 1 = 0

√2x ( √2x - 1 ) - 1 ( √2x - 1 ) = 0

( √2x - 1 ) ( √2x - 1 ) = 0

( √2x - 1 ) = 0

x = 1/√2

*( √2x - 1 ) = 0

x = 1/√2

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Answer 2

Answer:

2x^2-2√2x+1=0

2x^2-√2x-√2x+1=0

√2x(√2x-1) -1(√2x-1) =0

(√2x-1) (√2x-1) =0

x=1/√2, 1/√2

Step-by-step explanation:

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