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Delicious77 [7]
2 years ago
13

What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?

Mathematics
1 answer:
Serhud [2]2 years ago
7 0

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

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2 years ago
How can you find the surface area of a composite solid made up of prisms ? (Help)
sammy [17]
Oh, this is easy. For any prism, you find the surface area by finding the are of all the sides. I will post all surface area formulas here, for reference
Cube:



Surface area = 6 × a2




Right circular cylinder:



Surface area = 2 × pi × r2   +  2 × pi × r × h

pi = 3.14
h is the height
r is the radius


Rectangular prism:



Surface area = 2 × l × w  +  2 × l × h  +  2 × w × h 




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w is the width
h is the height


Sphere:



Surface area = 4 × pi × r2 

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Right circular cone:



Surface area = pi × r2  +  pi × r ×( √(h2 + r2)) 

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8 0
3 years ago
PLEASE HELP 15 POINTS!!!!!!
pychu [463]
Area of a triangle: (b*h) /2
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7 0
3 years ago
Help need to be done soon​
nikitadnepr [17]

<u>Given</u>:

Given that the measure of arc DF is 162°

We need to determine the measure of ∠E

<u>Measure of ∠E:</u>

The measure of ∠E can be determined using the inscribed angle theorem.

Thus, by inscribed angle theorem, we have;

\angle E=\frac{1}{2}(m \widehat{DF})

Substituting m \widehat{DF}=162^{\circ}, we get;

\angle E=\frac{1}{2}(162^{\circ})

Dividing, we get;

\angle E=81^{\circ}

Thus, the measure of ∠E is 81°

6 0
3 years ago
A number decreased by 5 is 50
Vinil7 [7]

Answer:

55 decrease by 5 is 50, or 55 - 5 = 50.

Step-by-step explanation:

Let x represent the missing number.

When you hear the words decrease, minus, that tells you to subtract.

Before we subtract, if there is a variable, we must do the opposite of subtraction, we need to add.

50 + 5 = x

Which means x = 50 + 5.

50 + 5 = 55.

Therefore, x = 55.

4 0
3 years ago
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