Question 1006242
i would say 2 irrational numbers.


your eqaution is:


x^2 + sqrt(2)x = 1/2


subtract 1/2 from both sides of the eqution to get:


x^2 + sqrt(2)x - 1/2 = 0


this is in standard form of ax^2 + bx + c = 0


a = 1
b = sqrt(2)
c = -1/2


using the quadratic formula, you get:


x = -1 - sqrt(2)/2 or x = 1 - sqrt(2)/2


anything with a sqrt(2) in it is going to be irrational.


the first one is negative.
the second one is positive.
they are both irrational.


looks like selection c.


my worksheet for solving the quadratic equation using the quadratic formula is shown below:


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