Solve x^2 + 8x - 3 = 0 using the completing-the-square-method

We want to write in the form . To do that, if we expand the second expression and set it equal to the first, we get

So we need to have

The first condition tells us that , so . Then

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step-by-step explanation:

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°