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Phoenix [80]
2 years ago
5

Is x^2 + 1/x = 4 a quadratic equations​

Mathematics
1 answer:
Liono4ka [1.6K]2 years ago
4 0

Answer:

\large\boxed{\pink{ \leadsto The \ given \ equation \ is \ not \ a \ Quadratic \ equation . }}

Step-by-step explanation:

Given equation to us is ,

\green{\implies x^2+\dfrac{1}{x}=4 }

So , a equation is said to be a quadratic equation if the highest degree of the variable is 2 . On simplifying the Equation ,

\implies x^2 +\dfrac{1}{x}=4

Taking x as LCM ,

\implies \dfrac{x^2.x + 1 }{x}= 4

Transposing x to RHS .

\implies x^3 + 1 = 4x

Putting all terms in LHS

\boxed{\bf \implies x^3 - 4x - 1 = 0 }

Since here the highest degree of the variable is 3 not 2 . So its a cubic equation and not a quadratic equation .

<h3><u>Hence</u><u> </u><u>the </u><u>given </u><u>equation </u><u>is</u><u> </u><u>not</u><u> </u><u>a</u><u> </u><u>quad</u><u>ratic</u><u> equation</u><u> </u><u>.</u></h3>
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Show work please. thank you
Eduardwww [97]
Problem 17, part A

i = simple interest = 900 dolars
p = principle = 1500 dollars
r = interest rate = 0.03 (decimal form of 3%)
t = time in years = unknown (leave it as t for now)

Plug in those values mentioned above and solve for t.

Simple interest formula
i = p*r*t
900 = 1500*0.03*t
900 = 45*t
900/45 = 45*t/45
20 = t
t = 20

Answer: 20 years

=============================================

Problem 17, part B

p = 1500
r = 0.03
t = 5 years

A = p+p*r*t
A = 1500+1500*0.03*5
A = 1500+225
A = 1725

Answer: 1725 dollars

=============================================

Problem 17, part C

Factor out the GCF p, then divide both sides by 1+rt

A = p+p*r*t
A = p*1+p*r*t
A = p*(1+rt)
A/(1+rt) = p*(1+rt)/(1+rt)
A/(1+rt) = p
p = A/(1+rt)

Answer: p = A/(1+rt)

The right side is the fraction of A all over the quantity (1+rt) which may be more readable if written like so 
p = \frac{A}{1+rt}
If you're going to write it in the way p = A/(1+rt) then don't forget to use parenthesis. 

4 0
3 years ago
If snow accumulates at a rate of 2 inches every 3 hours, how many hours will it take to accumulate 2 feet of snow?​
Effectus [21]

Answer:

12hours

Step-by-step explanation:

24inch-2feet

24/2=12

7 0
2 years ago
Read 2 more answers
Please help me Asap!! I don't have much time to answer this. Will give brainliest!<br> NO LINKS!!
Advocard [28]

Answer:

  • 3/5

Step-by-step explanation:

<u>Number of those drive to school:</u>

  • 2 + 13 + 25 = 40

<u>Number of those don't drive:</u>

  • 100 - 40 = 60

<u>Probability:</u>

  • P(Drive to school ' ) = 60/100 = 3/5
5 0
2 years ago
Compare the line passing through the points (−3, −11) and (6, 4) to the line given by the equation y=35x−6.
Aleks04 [339]
Let
<span>A------> (−3, −11)
B------>  (6, 4)

step 1
find the slope m point A and point B
m=(y2-y1)/(x2-x1)-----> </span>m=(4+11)/(6+3)----> m=15/9---> 5/3

step 2
with m=5/3 and point B (6, 4)  find the equation of a line
y-y1=m*(x-x1)-----> y-4=(5/3)*(x-6)---> y=(5/3)x-6

case <span>a. they have the same slope------> is not correct
because
</span><span>y=35x−6------> the slope m=35
</span>y=(5/3)x-6---> the slope m =5/3

case <span>b. they have the same x-intercept.----> is not correct
because
</span>the x-intercept is for y=0

y=35x−6-----> 0=35x-6----> 35x=6-----> x=6/35
the x-intercept is the point (6/35,0)

y=(5/3)x-6----> 0=(5/3)x-6----> (5/3)x=6---> x=18/5
the x-intercept is the point (18/5,0)

case <span>c. the two lines are perpendicular. do. they have the same y-intercept-----> is nor correct
because

if two lines are perpendicular
m1*m2=-1-------> </span><span>this condition is not satisfied
</span>
the y intercept is for x=0

y=35x−6-------> y=-6
the y intercept is the point (0,-6)

y=(5/3)x-6-----> y=-6
the y intercept is the point (0,-6)

 they have the same y-intercept but the two lines are not perpendicular

see the attached figure

7 0
3 years ago
An item on sale costs
9966 [12]
The sale price would be 18 dollars. Hope this helps you! 
3 0
3 years ago
Read 2 more answers
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