Ashifur August 8, 2023 - 10:17
Problem: $\frac{\sqrt{2+x+\sqrt{2-x}}}{\sqrt{2+x-\sqrt{2-x}}}$ = 2. Find the value of x.

View all: BANGLADESH BANK OFFICER | WRITTEN QUESTION (MATH) SOLVE | 2015

Correct Answer: ans , $\frac{8}{5}$

Explanation:

$\frac{\sqrt{2+x+\sqrt{2-x}}}{\sqrt{2+x-\sqrt{2-x}}}$ = 2

=> $\frac{\sqrt{2+x+\sqrt{2-x+\sqrt{2+x-\sqrt{2-x}}}}}{\sqrt{2+x+\sqrt{2-x-\sqrt{2+x+\sqrt{2-x}}}}}$ = $\frac{2+1}{2-1}$

=> $\frac{2\sqrt{2+x}}{2\sqrt{2-x}} =\frac{3}{1}$

=> $(\frac{\sqrt{2+x}}{\sqrt{2-x}})^{2}=3^{2}$

=> $\frac{2+x}{2-x}=9$

=> 2+x=18-9x

=> 10x=l6

=> x=$\frac{16}{10}$

x=$\frac{8}{5}$

Write Reply...
You should read | Topics/Questions
Simon purchased brand X pens for Tk. 4.00 a piece and brand Y pens for Tk. 2.80 a piece. If Simon, purchased a total of 12 of these pens for Tk. 42.00, how many brand X pens did she purchase?
In a group consisting of 40 people 24 were female and the rest were male. Half of the members were smokers and the rest were non smokers. If $\frac{1}{3}$rd of the female members were smokers, how of the male members were non-smokers?
$x^{2}-12x+27\lt 0$
পিতা ও বয়সের সমষ্টি ৫০ বছর। যথন পুরেোর বয়স পিতার বর্তমান বয়সের সমান হবে তখন তাদের বয়সের সমষ্টি হবে ১০২ বছর। পিতা ও পুর বর্তমান বয়স কত?
The sum of the digits of a two-digit number is subtracted from the number. How many such two-digit number can be formed so that digit in the unit palace of the resulting mumber is 6
In a cricket game a batsman played 120 balls. His hits of four were twice the number of hits of sixes. He hit 21 singles, 9 twos and 7 threes. If he failed to score of 68 deliveries. What was his average score per ball?
A worker buys some shirts and some ties. Shirts cost Tk.70 each and the ties cost Tk. 30 each. If the man spends exactly Tk. 810 and buys the maximum number of shirts possible under these conditions, what is the ratio of shirts to ties?
a, b, c, d and e are five consecutive numbers in increasing order of size. Deleting one of the five numbers from the set decreased the sum of the remaining numbers in the set by 20% Which one of the numbers was deleted from a. b, c, d and e?
A man binds 112 books in one day & his assistant works  $\frac{1}{4}$ as fast. How many days will it take to bind 560 books if each works alone on alternate days?
In a country, 60% of the male citizen and 70% of the female citizen are eligible to vote. 70% of male citizens eligible to vote voted, and 60% of the female citizens eligible to vote voted. What fraction of the citizens voted during the election?
User Avatar

Articles

0

Comments

0

Rating

0

Login