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2 years ago

Determine the value of the variable from the image below.

Mathematics

1 answer:

GuDViN [60]2 years ago

3 0

Answer:

Step-by-step explanation:

<h3>to understand the solving steps</h3><h3>you need to know about:</h3>

right angle
equation
PEMDAS

<h3>to solve:</h3><h3>x</h3><h3>let's solve:</h3>

<u>a </u><u>right</u><u> angle</u><u> </u><u>contains </u><u>9</u><u>0</u><u>°</u> (always)

according to the question

x+3+x-1+x+1=90

3x3=90

x=87

x=29

<h2>solved</h2>

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$x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}$

Step-by-step explanation:

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$f(x)=-4x^5-8x^3+12x$

And we want to finds its zeros.

Therefore:

$0=-4x^5-8x^3+12x$

Firstly, we can divide everything by -4:

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Factor out an x:

$0=x(x^4+2x^2-3)$

This is in quadratic form. For simplicity, we can let:

$u=x^2$

Then by substitution:

$0=x(u^2+2u-3)$

Factor:

$0=x(u+3)(u-1)$

Substitute back:

$0=x(x^2+3)(x^2-1)$

By the Zero Product Property:

$x=0\text{ and } x^2+3=0\text{ and } x^2-1=0$

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2 years ago