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Assoli18 [71]
3 years ago
5

What is the answer to C??

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

3^2x - 9 (3^-2x) = 8

<=> 3^2x - 9/(3^2x) = 8

Given that 3^2x = y [1] (y>0), we have a new equation as follows:

y - 9×\frac{1}{y} = 8

<=> y - 9/y = 8

<=> y(y - 9/y) = y×8

<=> y^2 - 9 = 8×y

<=> y^2 - 8y - 9 = 0

<=> (y^2 + y) - (9×y + 9) = 0

<=> y(y + 1) - 9(y + 1) = 0

<=> (y - 9)(y + 1) = 0

=> y = 9, or y = - 1

However, as 3^2x > 0, y>0.

Therefore, y = 9.

Replace y with 9 in [1], we have:

3^2x = 9 = 3^2

=> 2x = 2

=> x = 1

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3 years ago
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Sauron [17]

The solutions for the quadratic equation are given as follows:

x = -1, x = 7/5

<h3>What is a quadratic function?</h3>

A quadratic function is given according to the following rule:

y = ax^2 + bx + c

The solutions are:

  • x_1 = \frac{-b + \sqrt{\Delta}}{2a}
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In which:

\Delta = b^2 - 4ac

For this problem, the equation is:

5x² - 2x - 7 = 0.

Hence the coefficients are a = 5, b = -2 and c = -7, and then the solutions are found as follows:

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The solutions are:

x = -1, x = 7/5

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Therefore, m = -5 for another line.

Let the equation of the line be y = mx + c

This line passes through A(-2,3)

Therefore, 3 = -5(-2) + c

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Hence, equation of line is y = -5x - 7.

To learn more about equation of the line here:

brainly.com/question/21511618

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8 0
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