All categories

3 years ago

Solve the quadratic in form equation x^4-14x^2+45=0

Mathematics

1 answer:

Anastaziya [24]3 years ago

7 1

X⁴-14x²+45=0
(x²) ²-14x²+45=0
let y=x²
y²-14y+45=0
(y-9) (y-5) =0
y=9 or y=5
x²=9 or x²=5
x=±3 or x=±√5

You might be interested in

Im really confused can somebody explain this?

vovikov84 [41]

Given:

The given ratio is $16 : 12$

We need to determine three ratios that are equivalent to the given ratio.

Option A: $8:6$

The given ratio is $16 : 12$

Let us divide the given ratio $16 : 12$ by 2.

Thus, we have;

$8:6$

Hence, the expression $8:6$ is equivalent to $16 : 12$

Thus, Option A is the correct answer.

Option B: $32:24$

The number 32 goes by 16 in 2 times and the number 24 goes by 12 in 2 times.

Thus, multiplying the ratio $16 : 12$ by 2, we get;

$32:24$

Thus, the expression $32:24$ is equivalent to $16 : 12$

Hence, Option B is the correct answer.

Option C: $4:3$

Let us divide the given ratio $16 : 12$ by 4.

Thus, we have;

$4:3$

Thus, the expression $4:3$ is equivalent to $16 : 12$

Hence, Option C is the correct answer.

Option D: $12:8$

The number 12 goes by 16 in $\frac{3}{4}$ times and the number 8 goes by 12 in $\frac{2}{3}$ times.

The ratios are multiplied by different numbers.

Thus, the expression $12:8$ is not equivalent to $16 : 12$

Hence, Option D is not the correct answer.

Option E: $24:16$

The number 24 goes by 16 in 1.5 times and the number 16 goes by 12 in 0.75 times.

The ratios are multiplied by different numbers.

Thus, the expression $24:16$ is not equivalent to $16 : 12$

Hence, Option E is not the correct answer.

Therefore, the equivalent ratios are Option A, B and C

5 0

3 years ago

Help please! Will give brainliest to best CORRECT answer! You need a ladder that will reach up a 25 foot tall house when placed

timurjin [86]

Answer:b 27 feet

Step-by-step explanation:You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house.

6 0

2 years ago

Read 2 more answers

Seth's father is thinking of buying his son a summer movie pass for $30 dollars. With the pass, matiness cost $4 each.

PilotLPTM [1.2K]

Answer:

Seth saved $90.

Step-by-step explanation:

1.Find out how much would be spent without buying the movie pass.

Multiply the amount of money that one would spend for each movie, by the number of movies one saw.

8 * 30 = 240

2.Find out the amount that was actually spent

Multiply the amount that was actually spent on each movie, by the number of movies that were seen. Then add the additional cost of the pass.

(4 * 30) + 30

= 120 + 30

= 150

3. Find the difference between the two values.

Subtract the amount that one was supposed to spend by the amount one did spend.

240 - 150

= 90

3 0

2 years ago

Pls solve: 6 - 2/9x = 8

Inga [223]

Answer:

x = -9

Step-by-step explanation:

6 - 2/9x = 8

Subtract 6 from each side

6-6 - 2/9x = 8-6

-2/9 x = 2

Multiply each side by -9/2 to isolate x

-9/2 * -2/9x = 2*-9/2

x = -9

5 0

3 years ago

Read 2 more answers

A colony of bacteria is grown under ideal conditions in a laboratory so that the population increases exponentially with time. A

Naddik [55]

Answer:

Initial bacterias = 6006000

Altought I believe is safe to assume that the values were 192,000 and 384,000 instead of 192,192,000 and 384,384,000, in that case the initial bacterias is 6000

Step-by-step explanation:

A exponential growth follows this formula:

Bacterias = C*rⁿ

C the initial amount

r the growth rate

n the number of time intervals

Bacterias (55 hours) = 192,192,000

Bacterias (66 hours) = 384,384,000

$Bacterias(55hours)=C*r^{{\frac{55-t}{t}}} \\Bacterias (66hours) = C*r^{\frac{66-t}{t}}}$

If you divide both you can get the growth rate:

$\frac{Bacterias (66hours)}{Bacterias(55hours)}=\frac{C*r^{\frac{66-t}{t}}}{C*r^{{\frac{55-t}{t}}}} \\\frac{384,384,000}{192,192,000} =r^{\frac{66-t}{t} -\frac{55-t}{t} } \\2 =r^{\frac{11}{t}}$

So with that r = 2 and each time interval correspond to 11 years

Then replacing in one you can get the initial amount of C

$Bacterias (55hours)=C*2^{\frac{55-11}{11} } 192,192,000 = C*32\\C= 6006000$

7 0

3 years ago