SOLUTION: Please find the real solutions if any of each equation. Use any method. x^2+sqrt(2x)=1/2

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Question 155431This question is from textbook Algebra and Trigonometry
: Please find the real solutions if any of each equation. Use any method.
x^2+sqrt(2x)=1/2This question is from textbook Algebra and Trigonometry

Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
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.