find the set of values...?

**RubbishAtMaths** · January 7th 2009, 10:52 AM

Find the set of values of k for which the equation 2x(sqrd) + kx + 2 = 0 has no real roots.

i have no idea how to solve this... can somone please explain?

thanks

**Mush** · January 7th 2009, 10:58 AM

Originally Posted by RubbishAtMaths

Find the set of values of k for which the equation 2x(sqrd) + kx + 2 = 0 has no real roots.

i have no idea how to solve this... can somone please explain?

thanks

A quadratic equation of the form $ax^2+bc+c = 0$ has no real roots when its discriminant ( $b^2-4ac$ ) is less than 0.

In other word, you have to find values of k for which:

$k^2-4(2)(2) < 0$

**RubbishAtMaths** · January 7th 2009, 11:10 AM

Originally Posted by Mush

A quadratic equation of the form $ax^2+bc+c = 0$ has no real roots when its discriminant ( $b^2-4ac$ ) is less than 0.

In other word, you have to find values of k for which:

$k^2-4(2)(2) < 0$

$k^2 < 16$ so is the answer $-4 < k < 4$ ?

**Mush** · January 7th 2009, 11:15 AM

Originally Posted by RubbishAtMaths

$k^2 < 16$ so is the answer $-4 < k < 4$ ?

Yep!

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