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3 years ago

Solve x^2-6x+25 = 0 by completing the square.

Mathematics

1 answer:

Oksana_A [137]3 years ago

3 0

First, subtract both sides by 25:

x^2 - 6x = -25

Because we're completing the square, we subtract both sides by 9:

x^2 - 6x - 9 = -34

(x - 3) = 5.831 (about)

x = 8.831

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3 years ago

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Gennadij [26K]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

point O lies in the interior of angle MNP. if the measure of MNO is x^2 + 10x, the measure of ONP is x^2 - 2x , and the measure

Triss [41]

Answer:

x = 6; ∠ONP = 24°

Step-by-step explanation:

1. Find the value of x

$\begin{array}{rcl}\angle MNP & = & \angle MNO + \angle ONP\\3x^{2} + 12 & = & x^{2} + 10x + x^{2} - 2x\\3x^{2} + 12 & = & 2x^{2} + 8x\\x^{2} + 12 & = & 8x\\x^{2} -8x + 12 & = & 0\\(x - 2)(x - 6) & = & 0\\\end{array}$

$x = 2 \text{ or }x = 6$

2. Find the measures of the angles

(a) x = 2

∠ ONP = x² - 2x = 2² - 2(2) = 4 - 4 = 0

This answer does not make sense because O lies in the interior of ∠MNP.

We disregard x = 2.

(b) x = 6

∠ ONP = x² - 2x = 6² - 2(6) = 36 - 12 = 24

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4 years ago

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