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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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gtnhenbr [62]

Answer:

5 years

Step-by-step explanation:

To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.  

y = x^6 − 9x^4 + 70x^2

630 = x^6 − 9x^4 + 70x^2

Solving for x, we will have

x = 4.8866 years or approximately 5 years

Hope this answer helps you :)

Have a great day

Mark brainliest

7 0
2 years ago
The hire purchase price of a fridge is 16400. 25% is paid as deposit, the rest is spread over 12 equally monthly instalments. If
Flauer [41]

Answer: a. 13120

b. 4100

c. 1025

d. 3280

Step-by-step explanation:

(a) find the costs price of the fridge

Since the cash price is 20% less the hire purchase price, then the cost of the fridge will be:

= (100% - 20%) × 16400

= 80% × 16400

= 0.8 × 16400

= 13120

(b) calculate the deposit

Since 25% is paid as deposit, the deposit will be:

= 25% × 16400

= 0.25 × 16400

= 4100

(c) what is the monthly installments

Monthly installments will be:

= (16400 - 4100)/12

= 12300/12

= 1025

(d) what is the differences between the cash price and the hire purchase price.

This will be:

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Cash price = 13120

= 16400 - 13120

= 3280

3 0
3 years ago
Evaluate the expression 7^2/ x^2 - 2 for x = 3
vovikov84 [41]

Answer:

7

Step-by-step explanation:

7²/x²-2 when x=3

49/3²-2

49/9-2

49/7

answer=7

4 0
2 years ago
Every year Ethan ears 38,428. Every year he spends 21,728 on expenses. How much money should Ethan have leftover?
svlad2 [7]

Answer:

16,700

Step-by-step explanation:

38,428

_

21,728

=

16,700

4 0
3 years ago
Is the following a linear equation ?
NNADVOKAT [17]
I think the answer is B but I am not sure
7 0
3 years ago
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