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Chapter 7: Q45. (page 462)

Solve the given equation.

6k(k+2)=6(k2+4)

Short Answer

Expert verified

k=2is the solution of the given equation.

Step by step solution

01

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign "=".

02

Step 2. Define the power of a product rule.

Power of a product rule states that if the two exponents of the same base are multiplied then the exponents are added and base remains the same.

am.an=am+n

Where,a is any non-zero real number.

03

Solve the equation, 6k(k+2)=6(k2+4).

Use the power of a product rule to solve the equation.

6kk+2=6k2+46kk+6k2=6k2+646k2+12k=6k2+246k2+12k鈭�6k2=2412k=24k=2412k=2

Therefore,k=2is the solution of the given equation.

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Most popular questions from this chapter

ASTRONOMY Physicists estimate that the number of stars in the universe has an order of magnitude of 1021. The number of stars in the Milky Way galaxy is around 100 billion. Using orders of magnitude, how many times as many stars are there in the universe as the Milky Way?

Evaluate each product or quotient. Express the results in scientific notation.

6.6脳1052脳10鈭�3

Observe the table below.

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Related Expression

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Linear or non linear

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a. For each equation, write the related expression and record the power of x.

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d. Explain how to determine whether an equation, or its related expression, is linear or nonlinear without graphing.

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Simplify each expression.

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