- #1

_Mayday_

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**[SOLVED] Discriminant Question**

The Equation:

[itex]x^2 + kx + 8 = k[/itex]

has no real roots

**(a)**Show that [itex]k[/itex] satisfies [itex] k^2 + 4k - 32 (is.smaller.than) 0[/itex]

**(b)**Hence find the set of possible values of [itex]k[/itex]

**Attempt**

**(a)**First I will put it in the form:

[itex]ax^2 + bx + c = 0[/itex]

[itex]x^2 + kx + 8 = k[/itex]

a = 1, b = k, c = 8

Now I will put this into the discriminant.

[itex]b^2 - 2ac (is.smaller.than) k[/itex]

[itex]k^2 - 16 (is.smaller.than) k[/itex]

Where do I go from here??

Thanks for any help!

**_Mayday_**