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3 years ago

The roots of the equation x^3+ax^2+bx+c=0 are 1,3 and 3. Show that c= -9 and find the value of a and of b.

Mathematics

1 answer:

KonstantinChe [14]3 years ago

4 0

Answer:

If the equation's roots are 1 , 3, 3 then the equation can be formed by multiplying

(x -1) * ( x - 3) * (x-3) =0

x^2 -6x + 9 * (x -1) equals

x^3 -6x^2 +9x -x^2 + 6x -9 = 0 equals

x^3 -7x^2 + 15x -9 = 0

cubic equations GENERALLY have the form

ax^3 +bx^2 + cx +d = 0

Therefore

a =1 b = -7 c = 15 and d = -9

So, to make the numbers equal the equation in the problem:

x^3 + ax^2 + bx + c = 0

a = -7 b = 15 and c = -9

Step-by-step explanation:

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What is the measure of angle F in degrees when H is 127degrees and G is 33.5 degrees?

irina1246 [14]

Answer:

19.5

Step-by-step explanation:

Here is a key factors in triangles, it must add up to 180 degrees.

You have three angles in a triangle ABC,

A = 127

B = 33.5

C = ?

In this case you would add the two together (160.5) and subtract from 180 giving you the angle C = 19.5

CHECK:

Add 127+33.5+19.5 = 180! Yes!

PLs mark brainliest if you can! :)

4 0

3 years ago

Find the distance between the

Dovator [93]

Answer:

$\displaystyle d = \sqrt{29}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

Step-by-step explanation:

*Note:

The distance formula is derived from the Pythagorean Theorem.

Step 1: Define

Identify

Point (5, 10)

Point (10, 12)

Step 2: Find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(10 - 5)^2 + (12 -10)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{5^2 + 2^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{25 + 4}$
[√Radical] Add: $\displaystyle d = \sqrt{29}$