Question:

Write in the form where the values of b and c are to be found.

(a) State the minimum value of and the value of for which this occurs.

(b) Determine the values of for which .

Attempt:

What to do next?

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- March 29th 2008, 11:35 AMlooi76[SOLVED] Write x^2 + 10x + 38 in the form (x+b)^2+c...
**Question:**

Write in the form where the values of b and c are to be found.

(a) State the minimum value of and the value of for which this occurs.

(b) Determine the values of for which .

**Attempt:**

What to do next?

- March 29th 2008, 11:43 AMMoo
Hello,

The beginning is correct.

To continue, you can remember that something squared is always > 0.

So (x+5)²+13 has a minimum when (x+5)² = 0, because 0 is the minimal value for a square.

For b), (x+5)²+13>22 <=> (x+5)²>9=3²

-> |x+5|>3 - March 29th 2008, 11:48 AMo_O
For a parabola in the form of (note the negative sign in front of b), the vertex is given by (b, c).

Now solve the inequality by finding the roots and finding the regions in which the inequality holds.