-sqrt2, 6sqrt2?

write an equation to equal 0

1 Answer

  • Dale
    Lv 4
    1 decade ago
    Best Answer

    Vieta's theorem says that given x1 and x2, one can make up a quadratic equation x^2-(x1+x2)*x+x1*x2=0 such that its roots are precisely x1 and x2.

    In our case put x1=-sqrt(2), x2=6sqrt(2). Then the sought equation is x^2-5sqrt(2)*x-12=0 as x1*x2=-6*(sqrt(2))^2=-6*2=-12.

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