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Solve the equation: x^2 + x/sqrt2 + 1 =...

Solve the equation: `x^2 + x/sqrt2 + 1 =0`

Text Solution

Verified by Experts

Here the quadratic equation is
`x^2+x/(√2)+1=0`
This equation can also be written as `√2x^2+x+√2=0`
On comparing this equation with `ax^2 + bx + c = 0`,
we obtain = `√2`, = `1` = `√2`
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Knowledge Check

  • For the equation 2x^(2) + 6 sqrt(2)x + 1 = 0

    A
    roots are rational
    B
    if one root is `p + sqrt(q)`, then the other is `-p + sqrt(q)`
    C
    and if one root is `p+sqrt(q)`, then other root `-p+sqrt(q)`
    D
    none of these