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3 years ago

-5+6(2x+2)=7 I need help

Mathematics

1 answer:

uysha [10]3 years ago

6 0

Answer:

x= -2; x=0

Step-by-step explanation:

-5+6|2x+2|=7

6|2x+2|=12

|2x+2|=2

x= -2; x=0

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Write each expression as a difference.<br> a+5

SCORPION-xisa [38]

The equivalent expression of a + 5 is -(-a - 5)

<h3>How to rewrite the expression?</h3>

The expression is given as:

a + 5

Multiply by 1

1 * (a + 5)

Express 1 as -1 * -1

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Open the bracket

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2 years ago

Solve the equation for exact solutions over the interval [0, 2π).

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Answer:

$\displaystyle x=\left\{0, \frac{2\pi}{3}, \frac{4\pi}{3}\right\}$

Step-by-step explanation:

We want to solve the equation:

$-2\cos^2(x)=-\cos(x)-1$

Over the interval [0, 2π).

First, notice that this is in quadratic form. So, to make things simpler, we can let <em>u</em> = cos(x). Substitute:

$-2u^2=-u-1$

Rearrange:

$2u^2-u-1=0$

Factor:

$(2u+1)(u-1)=0$

Zero Product Property:

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Back-substitute:

$\displaystyle \cos(x)=-\frac{1}{2}\text{ or } \cos(x)=1$

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