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Vsevolod [243]
3 years ago
13

1. ​​Use what you have learned to find the solutions of the polynomial equation shown below.

Mathematics
1 answer:
m_a_m_a [10]3 years ago
4 0
If (x^2 -10) is one of the factors, that can be further factored into:
(x - sqrt(10) ) * (x+sqrt(10)) =0
making 2 of the 4 solutions equal:
3.1623 and -3.1623

I then used an algebraic long division calculator
http://calculus-calculator.com/longdivision/
to calculate:
<span>x^4 + 5x^3 ‒ x^2 ‒ 50x ‒ 90 divided by x^2 -10 which equals

</span>x^2 + 5x + 9

Using the quadratic formula, the roots of that equation are:
x = -5 + sqrt (-11) / 2
and
x = -5 - sqrt (-11) / 2

Both of those roots are not real.

I tried using online graphing calculators for x^4+5x^3-x^2-50x-90=0 but none worked.

2.  For this equation,
<span>3x^2 ‒ 8x + k = 0
I used my OWN quadratic formula calculator
http://www.1728.org/quadratc.htm
and found that real roots no longer exist after "k" is greater than 5.3

</span>
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zepelin [54]
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Not all polygons are quadrilateral, this is also correct since some polygons have five or more sides and angles.
7 0
3 years ago
Calculate the missing angle and give a reason for your answer
Vanyuwa [196]

Step-by-step explanation:

the triangle is an isosceles triangle hence the base angles are equal

sum of angles in a triangle is 180°, therefore, the top angle =180-(62+62)

the top angle =56°

h°= the top angle because alternate angles are equal

hence, h=56°

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3 years ago
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If the bottom of a ship is 15.8 below the surface of the sea, calculate the pressure at the bottom of the ship. The density of t
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Given:
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3 years ago
Combine, and simplify the following radical expressions:<br><br> √7-5/√7+√8
solmaris [256]

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Rationalize.

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This can be further simplified to the decimal:

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I hope this helps :)

7 0
3 years ago
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At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height
jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x            which is the height of the tree.

c = 3*x + 1   so we are trying to find x.  Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2        

35^2 + x^2 = 9x^2 + 6x + 1     Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1               Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

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3 years ago
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