Question 155431
x^2+sqrt(2)x=1/2

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

Use the quadratic formula to get:

x = [-2sqrt(2) +- sqrt(8-4*2*-1)]/4

x = [-2sqrt(2) +- sqrt(16)]/4

x = [-2sqrt(2) +- 4]/4

x = [-2sqrt(2)+4]/ or x = [-2sqrt(2) - 4]/4
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Cheers,
Stan H.