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Savatey [412]
3 years ago
8

The roots of x2 − ( ) + 34 are 5 ± 3i.

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
5 0
Use quadratic formula
if you had ax^2+bx+c=0, then
x=\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}
a=1
b=?
c=34
subsitute
\frac{-b+/- \sqrt{b^{2}-4(1)(34)} }{2(1)}=5+/-3i
\frac{-b+/- \sqrt{b^{2}-136} }{2}=5+/-3i
make 5+/-3 into fraction over 2,(10+/-6i)/2
\frac{-b+/- \sqrt{b^{2}-136} }{2}=(10+/-6i)/2
multiply both sides by 2
-b+/- \sqrt{b^{2}-136}=10+/-6i
we conclude that -b=10
b=-10

ok so equaton is
x^2-10x+34


Mashutka [201]3 years ago
5 0

The roots of  x² -bx+34=0  are 5 ± 3i.  Then b = ?

-------------------

Vieta's formulas :

5 - 3i + 5 + 3i = b <span>⇒ b =10 </span>

Now, we have the equation:

<span>x² -10x + 34 = 0 </span>






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PilotLPTM [1.2K]
Hello!

If we want to find the mean (average) of any set of numbers, all you need to do is add the set together, then divide by how many numbers are in the set.

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3 0
3 years ago
A student has 10 coins in her pocket that have a value of 0.85,The coins are either nickels of dimes. Which system of linear equ
oee [108]

Answer:

p+q = 10...... 1

0.05p+0.10q = 0.85 ..... 2

Step-by-step explanation:

The question is incomplete. Here is the complete question.

A student has 10 coins in her pocket that have a value of $0.85. The coins are either nickels or dimes. If each nickel costs $0.05 and each dime costs $0.10. Which system of linear equations represents this scenario?

Let the number of nickel in the pocket of the student be p

Let the number of dime in the pocket of the student be q

If there are 10 coins in her pocket, then the total coins in her pocket will be represented by the equation;

p+q = 10...... 1

If each nickel costs $0.05, p nickels will cost $0.05×p = $0.05p

If each dime costs $0.10, q nickel will costs $0.10×q = $0.10q

Total amount will be $0.05p+$0.10q

Now if the total coins in her pocket has a value of $0.85, then the we will equate $0.05p+$0.10q to $0.85 to give our second linear equation as:

$0.05p+$0.10q = $0.85 ....... 2

Therefore, the system of linear equations represents this scenario are:

p+q = 10...... 1

0.05p+0.10q = 0.85 ..... 2

7 0
3 years ago
5 divided by 9.75, 0.5 divided by 4.25, 38.5 divided by 0.5.
melamori03 [73]

Answer:

0.5128

0.1176

77

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
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andrew11 [14]
Just do 10.5 × 50 and whatever answer you get label as grams
4 0
3 years ago
Read 2 more answers
Which expression has the greatest value when x=3
Luden [163]

Answer:

The third expression: (2x)^3

Step-by-step explanation:

Plug in 3 for x in each expression

2x^3

2(3)^3

Use PEMDAS

2 (3 × 3 × 3)

2 (9 × 3)

2 (27)

54

2x^3 + 5

(The last expression told us 2x^3 = 54 so feel free to use this information to make life easier)

54 + 5

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(2x)^3

(2 × 3)^3

Use PEMDAS

6^3

6 × 6 × 6

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(x - 1)^3

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Use PEMDAS

2^3

2 × 2 × 2

4 × 2

8

216 is the greatest value so the third expression is the answer

7 0
2 years ago
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