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atroni [7]
3 years ago
9

(x-9)(x+9) find the product

Mathematics
1 answer:
klio [65]3 years ago
7 0

Method 1.

Use (a-b)(a+b)=a^2-b^2

(x-9)(x+9)=x^2-9^2=x^2-81

Method 2.

Use distributive property: (a + b)(c + d) = ac + ad + bc + bd

(x-9)(x+9)=(x)(x)+(x)(9)+(-9)(x)+(-9)(9)=x^2+9x-9x-81=x^2-81

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You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

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<h3>How can we form a system of equations from an equation?</h3>

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Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

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Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

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Learn more about solutions to system of equations here:

brainly.com/question/14550337

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