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3 years ago

Form the quadratic equation whose one root is 2 + 2^(1/2)

Mathematics

1 answer:

Oksanka [162]3 years ago

4 0

9514 1404 393

Answer:

x^2 -4x +2 = 0

Step-by-step explanation:

The other root is the conjugate of the given one, so is 2-√2. The quadratic equation in factored form is then ...

(x -2-√2)(x -2+√2) = 0

Expanding this, we get ...

(x -2)^2 -(√2)^2 = 0

x^2 -4x +4 -2 = 0

x^2 -4x +2 = 0 . . . . the equation you're looking for

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Form the quadratic equation whose one root is 2 + 2^(1/2)​

Form the quadratic equation whose one root is 2 + 2^(1/2)