SOLUTION: I need to find all real solutions of the equation, correct to two decimals for the equation. I think I need to solve it graphically, but I have no idea how. x^4-8x^2+2=0

Algebra ->  Coordinate-system -> SOLUTION: I need to find all real solutions of the equation, correct to two decimals for the equation. I think I need to solve it graphically, but I have no idea how. x^4-8x^2+2=0      Log On


   



Question 662032: I need to find all real solutions of the equation, correct to two decimals for the equation. I think I need to solve it graphically, but I have no idea how. x^4-8x^2+2=0
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need to find all real solutions of the equation, correct to two decimals for the equation. I think I need to solve it graphically, but I have no idea how. x^4-8x^2+2=0
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Use the Quadratic Formula:
x^2 = [8 +- sqrt(64-4*2)]/2
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x^2 = [8 +- sqrt(56)]/2
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x^2 = [4 +- 2sqrt(14)]
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x^2 = [4+2sqrt(14)] or x^2 = [4-2sqrt(14)]
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Now solve for "x":
graph%28400%2C400%2C-10%2C10%2C-10%2C10%2Cx%5E4-8x%5E2%2B2%29
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Cheers,
Stan H.