Sum of a fraction and thrice of its reciprocal is 73/20. What is the fraction?
1). 4/5
2). 9/4
3). 4/9
4). 5/4
Let the fraction be x.
Reciprocal = 1/x
Then,
x + 3/x = 73/20
⇒ x2 + 3 = 73x/20
⇒ 20x2 – 73x + 60 = 0
⇒ x = {- (-73) + √ (5329 – 4800)}/40 or x = {- (-73) - √ (5329 – 4800)}/40
⇒ x = 96/40 = 12/5 or x = 50/40 = 5/4
∴ the required fraction is 5/4 or 12/5.1. If \(\frac{{7x + 9y}}{{3x - 4y}} = \frac{{19}}{8}\), then the value of x/y is __________.
2. If x3 + y3 = 35 and x + y = 5, then the value of x4 + y4 is
3. If 2x - 3 ≤ 5 + x and 5 - x < 1 + 5x; then x can take which of the following values?
4. The simplified form of $(4x + 3)^{2}$. (3x - 5) - $(4x^{3} - 12x^{2} + 9x - 20)$ is
5. If $tan^{2}A - sin^{2}A$ = x, then value of x is
6. If 4(x + 5) - 3 > 6 - 4x ≥ x - 5; Then the value of x is
9. .If x = 222, y = 223, z = 225 then the value of $x^{3}+y^{3}+z^{3}-3xyz$ is