$x = \sqrt{4} + \sqrt{3}$ হলে, $x^{3} + \frac{1}{x^{3}}$ এর মান কত?

Created: 2 years ago | Updated: 10 months ago

5 \sqrt{3}

5√2

2√5

৪৩ তম বিসিএস প্রিলিমিনারি টেস্ট (29-10-2021) গণিত বীজগণিতীয় রাশিমালা (Algebraic expressions)

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2 3.6k

best ans

10 months ago

7 0

INUN

x = √4+√3

1/x = (√4-√3)/(4-3)= √4-√3

x+1/x = 2√4 = 4

Now,

x³+1/x³ = (x+1/x)³ – 3 . x . 1/x (x + 1/x)

= 4³ – 3×4

= 64 - 12

= 52

1 year ago

5 0

MD. FOYSAL SHEIKH

বীজগণিতীয় রাশিমালা (Algebraic expressions)

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1.
$l o g_{2} 4 + l o g_{2} 8 - l o g_{4} 16 = ?$

Created: 6 days ago | Updated: 4 days ago

Bangladesh Oil, Gas and Mineral Corporation (Petrobangla) || Assistant Manager (Electrical / Electronics/Chemical/Petroleum/Petroleum & Mining/IPE/ MME/Naval Architechture/ Telecom/ Geology/Geophysics/Chemistry/Environment/Marketing) (31-05-2024) গণিত

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2.
$I f 5^{x + 1} - 2 \times 5^{x} - 3 = 0$ What is the value of x ?

Created: 6 days ago | Updated: 4 days ago

l o g_{5} 3

\log_{3} 5

VOTE STATISTICS

OPTION 1 : 0

OPTION 2 : 1

OPTION 3 : 0

OPTION 4 : 0

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3.
A circle has a radius of 30 cm. Determine the length of the arc subtended by an angle of $60^{\circ}$ at the center of the circle.

Created: 6 days ago | Updated: 4 days ago

\frac{π}{6} c m

6 π c m

10 π c m

20 π c m

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1 75

4.
Given A = 2i - 3j + 4k and B = i + 2j - k , what is the value of the dot product A. B?

Created: 6 days ago | Updated: 4 days ago

-8

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In how many ways can a committee of 4 people be chosen out of 8 people?

Created: 6 days ago | Updated: 4 days ago

110

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6.
The perimeter of a rectangle is 24 inches, and its length is 3 times its width. What are the length and the width of the rectangle?

Created: 6 days ago | Updated: 4 days ago

Length: 6 inches, Width: 2 inches

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$x = \sqrt{4} + \sqrt{3}$ হলে, $x^{3} + \frac{1}{x^{3}}$ এর মান কত?

Now,

বীজগণিতীয় রাশিমালা (Algebraic expressions)

Related Question

1.
$l o g_{2} 4 + l o g_{2} 8 - l o g_{4} 16 = ?$

2.
$I f 5^{x + 1} - 2 \times 5^{x} - 3 = 0$ What is the value of x ?

3.
A circle has a radius of 30 cm. Determine the length of the arc subtended by an angle of $60^{\circ}$ at the center of the circle.

4.
Given A = 2i - 3j + 4k and B = i + 2j - k , what is the value of the dot product A. B?

5.
In how many ways can a committee of 4 people be chosen out of 8 people?

6.
The perimeter of a rectangle is 24 inches, and its length is 3 times its width. What are the length and the width of the rectangle?

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x=4+3 হলে, x3+1x3 এর মান কত?

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$x = \sqrt{4} + \sqrt{3}$ হলে, $x^{3} + \frac{1}{x^{3}}$ এর মান কত?