If (x+1 x )=3, show that (x^3+1 x^3 )=0. - Vidyadip

Question

If $\left(x+\frac{1}{x}\right)=3$, show that $\left(x^3+\frac{1}{x^3}\right)=0$.

✓

Answer

self

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "[3 marks sum]" from Expansions→Expansions — all question types→MATHEMATICS STD 9 question papers→ICSE Board STD 9 question papers→ICSE Board question paper generator→

Similar questions

In the following, find the coordinates of the point whose abscissa is the solution of the first equation and ordinate is the solution of the second equation:$3-2 x=7 ; 2 y+1=10-2 \frac{1}{2} y$.

Write a pair of irrational numbers whose product is rational.

If $\tan A=\frac{1}{2}, \tan B=\frac{1}{3}$ and $\tan (A+B)=\frac{\tan A+\tan B}{1-\tan A \tan B}$, find $A+B$.

Solve the equation:
$7 x-2 y=20,11 x+15 y+23=0$

Construct a quadrilateral $\text{ABCD},$ when$:AD = AB = 4 \ cm, BC = 2.8 \ cm, CD = 2.5 \ cm$ and $\angle BAD = 45^\circ .$

If $r -\frac{1}{ r }=4$; find: $r ^2+\frac{1}{ r ^2}$

How many liters of water will flow out of a pipe having a cross sectional area $6 \ cm^2$ in one hour, if the speed of water in the pipe is $30 \ cm/sec$?

Simplify:$(x + 2y + 3z)(x^2 + 4y^2 + 9z^2 - 2xy - 6yz - 3zx)$

By plotting the following points on the same graph paper. Check whether they are collinear or not$:(i) (3, 5), (1, 1)$ and $(0, -1),(ii) (-2, -1), (-1, -4)$ and $(-4, 1)$

If $2\cos(A + B) = 2 \sin (A - B) = 1;$find the values of $A$ and $B.$