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2 years ago

6x2 + 108x + 707 = 5

Mathematics

1 answer:

Phantasy [73]2 years ago

4 0

Answer:

$x=-9\pm6i$

Step-by-step explanation:

$6x^2+108x+707=5$

$6x^2+108x+702=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-108\pm\sqrt{(108)^2-4(6)(702)}}{2(6)}$

$x=\frac{-108\pm\sqrt{-5184}}{12}$

$x=\frac{-108\pm72i}{12}$

$x=-9\pm6i$

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Answer:

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Step-by-step explanation:

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1 year ago

A rectangle has an area of 36 square units. As the length and the width change, what do you know about their product? Is this le

m_a_m_a [10]

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3 years ago

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3 years ago

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Ilya [14]

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What is the distance to the earth’s horizon from point P?<br><br> Express your answer as a decimal

rewona [7]

Answer:

The distance to the earth's horizon from point P is 216.2198187 mi, appriximately 216.22 mi

Step-by-step explanation:

This is a right triangle:

Hypotenuse: c=3959 mi + 5.9 mi → c=3964.9 mi

Leg 1: a=x=?

Leg 2: b=3959 mi

Using the Pytagorean theorem:

a^2+b^2=c^2

Replacing the known values:

(x)^2+(3959 mi)^2=(3964.9 mi)^2

Solving for x: Squaring:

x^2+15,673,681 mi^2=15,720,432.01 mi^2

Subtracting 15,673,681 mi^2 both sides of the equation:

x^2+15,673,681 mi^2-15,673,681 mi^2=15,720,432.01 mi^2-15,673,681 mi^2

x^2=46,751.01 mi^2

Square root both sides of the equation:

sqrt(x^2)=sqrt(46,751.01 mi^2)

x=216.2198187 mi

x=216.22 mi

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4 years ago