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Eduardwww [97]
3 years ago
7

Use completing the square to solve for x in the equation (x+7)(x-9) = 25.

Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

x = 1  ±√89

Step-by-step explanation:

We have the equation:

(x+7)(x-9) = 25

Using distributive property:

x(x-9) + 7(x-9) = 25

x²- 9x + 7x - 63 -25 = 0

x²- 2x - 88 = 0

To complete squares we need to add and subtract 1, as follows:

x²- 2x - 88 +1 -1 = 0

x²- 2x +1 -88 -1 = 0    (this is a perfect square)

(x - 1)² - 89 = 0

Solving for x:

(x - 1)² = 89

x - 1 = ±√89

x = 1  ±√89

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Given:

The inequality is:

y>5x+3

To find:

The y-intercept, slope and type of line (solid or dotted).

Solution:

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y>5x+3

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3 years ago
What is the amount of a $4,000.00 annuity due at 12 percent compounded semiannually for 3 years?
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Answer:

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Step-by-step explanation:

The question is on compound interest

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