1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Rina8888 [55]
3 years ago
5

X=3-√5 find the value of √x+ 1/√x

Mathematics
1 answer:
Rama09 [41]3 years ago
5 0

\bf x = 3-\sqrt{5} \\\\[-0.35em] ~\dotfill\\\\ \sqrt{x}+\cfrac{1}{\sqrt{x}}\implies (3-\sqrt{5})+\cfrac{1}{3-\sqrt{5}}\qquad \impliedby \textit{let use the LCD of }3-\sqrt{5} \\\\\\ \cfrac{(3-\sqrt{5})3-(3-\sqrt{5})\sqrt{5}+(1)1}{3-\sqrt{5}} \implies \cfrac{9-3\sqrt{5}-(3\sqrt{5}-5)+1}{3-\sqrt{5}} \\\\\\ \cfrac{9-3\sqrt{5}-3\sqrt{5}+5+1}{3-\sqrt{5}}\implies \cfrac{15-6\sqrt{5}}{3-\sqrt{5}}

You might be interested in
Please help!!!!!>>>>>>
12345 [234]

Answer:

-3.3

Step-by-step explanation:

-2.3-(4.5-3 1/2)=-2.3-(4.5-3.5)=-2.3-(1)=-3.3

3 0
2 years ago
What is 125 x 64 in expanded form
Nat2105 [25]
I think I believe it’s 8000
7 0
3 years ago
(X^4)-(45x^2)+324 what are the zeroes? And how many turning points?
dmitriy555 [2]

Zeroes:

We must solve

x^4-45x^2+324=0

To do so, we define the auxiliary variable t=x^2. The equation becomes

t^2-45t+324=0

The quadratic formula yields the solutions

t=9,\quad t=36

Substituting back t=x^2 gives

x^2=9 \iff x=\pm 3,\quad x^2=36 \iff x=\pm 6

So, the zeroes are -6, -3, 3, 6.

Turning points:

Turning points are points where a function stops being increasing to become decreasing, or vice versa. Since functions are increasing when their first derivative is positive and decreasing when it's negative, turning points are points where the first derivative is zero.

We have

f(x)=x^4-45x^2+324 \implies f'(x)=4x^3-90x

If we set the derivative to be zero, we have

4x^3-90x=0 \iff x(4x^2-90)=0

So, the derivative is zero if x=0 or

4x^2=90 \iff 2x^2=45 \iff x^2=\dfrac{45}{2}\iff x=\pm\sqrt{\dfrac{45}{2}}

6 0
2 years ago
An oak tree is planted when it is 650 centimeters tall. What is this height in meters?
Mashutka [201]

Answer:

It is 6.5 meters

The centimeter practical unit of length for many everyday measurements. A centimeter is equal to 0.01(or 1E-2) meter.

7 0
3 years ago
Needed help for my math please
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

(a)

\frac{a}{a} = 1 ( any value divided by itself = 1 )

(b)

\frac{a}{1} = a ( any value divide by 1 is the value itself )

(c)

\frac{a}{b} × \frac{c}{d} = \frac{ac}{bd}

The product of 2 fractions is the product of the numerators divided by the product of the denominators

(d)

\frac{a}{b} ÷ \frac{c}{d} = \frac{ad}{bc}

To divide 2 fractions, leave the first fraction, change division to multiplication and turn the second fraction upside down, that is

\frac{a}{b} ÷ \frac{c}{d} = \frac{a}{b} × \frac{d}{c} = \frac{ad}{bc}

(e)

\frac{a}{d} + \frac{b}{d} = \frac{a+b}{d}

Since the fractions have a like denominator, add the numerators leaving the denominator. This applies to subtraction also

(f)

\frac{a}{d} - \frac{b}{d} = \frac{a-b}{d}

See explanation for part (e)




6 0
3 years ago
Other questions:
  • How many ways can two republicans one democrat, and one independent, be chosen from nine republicans, five democrats, and two in
    8·1 answer
  • 1345 over 99 round to thw nearest integer
    6·2 answers
  • Heleleppepepepepepepepep pleaee
    10·1 answer
  • a box of granola contains 16.8 ounces. It costs &5.19. What is the cost, to the nearest cent, of the granola per ounce ? Som
    5·1 answer
  • Help????? urgent!!!!!!!!
    15·1 answer
  • Please helppp need the answers
    11·1 answer
  • HELP ASAP PLZ <br> Solve 13+m over 4=6<br><br><br> −3<br><br> –28<br><br> 76<br><br> 28
    10·2 answers
  • Please someone help!!!
    9·2 answers
  • Grace is comparing cell phone plans. A prepaid phone plan costs $0.20 per minute and has no monthly fee A
    9·2 answers
  • HELP ME PLEASE IM TRYING TO GET MY GRADE UP Ms. Riley needs to paint an border on her rectangular living room wall. The side len
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!