Sharing your mathematics in MathYouLike

Are there an infinite number of real solutions to $x^6+\sqrt{x^4+4x^3+6x^2+4x+1}=y$ ? Prove your answer.

Let $x,y,z$ be integers and $0 < x < y^3$ and $x+y^3=z^3$ . Find the least possible value for $y+z$ of all such triples $(x,y,z)$ . Prove that your answer is correct.

Prove that the $\sqrt{2}$ cannot be expressed in the form $\frac{m}{n}$ where $m$ and $n$ are rational.

In a $3\times 4$ grid, Rob starts at $(0,0)$ and needs to reach $(3,4)$ while only moving right or up. Given that he cannot pass through $(2,2)$ , how many distinct paths are possible?

In non-right $\triangle ABC$ , $AB=18$ and $AC =x$ . $AD$ intersects line segment $BC$ so that $BD=12$ and $DC=15$ . Let $AD=y$ . Find $\frac{x}{y}$

Given triangle ABC. AD,BE and CF are the height of the triangle. Point E and F are on line GH where G and H are on the circle. Prove that AG=AH

The sum of each row and each column is shown below. Find the number missing and find A,B,C,D,E:

A	B	B	B	C	16
A	D	C	D	E	19
A	B	D	C	E	17
A	E	A	B	F	16
B	F	B	F	E	??
22	12	18	16	??

Make a number 12 buy using only three numbers 6,5 and 3 and with some symbols

Find the last digit in $4^{50}$

In right pyramid PABCD, ABCD is a square with sides of length 2 and the distance from P to the center of square ABCD is 1. A plane intersects the pyramid at A and intersects edges PB, PC and PD at points B', C' and D', respectively. If $B'B/PB=1/4$ and $D'D/PD=1/5$ , what is the value of the ratio $C'C/PC$ ? Express your answer as a common fraction.

Find number of integers $x$ that satisfy $8 < |3x+4| < 32$ .

Ojns is robbing some gold! He brings a $2.5$ kg briefcase which has volume $25$ cm by $75$ cm by $50$ cm. If he can lift a maximum of $75$ kg, and he plans on filling up the whole case, could he lift it? If not, what is the maximum number of bars of gold, each measuring $3$ cm by $12.5$ cm by $5$ cm, should he put in the case so he can lift it?

Billy can mow a lawn in 6 hours and paint a roof in 2 hours. Joel can mow a lawn in 8 hours and paint a roof in 4 hours. Elton can mow a lawn in 4 hours and paint a roof in 4 hours.

Billy and Elton begin painting the roof while Joel begins mowing the lawn. When Billy and Elton finish painting the roof, Elton goes inside to play the piano while Billy helps Joel finish mowing the lawn. How long will it take to do both paint the roof and mow the lawn?

$62-63=1$

Can you change the position of only 1 number so that the equation is correct? (DO NOT CHANGE THE SYMBOLS)

#565 - 1000 best IQ questions in history. Difficulty: 4/10

Go to https://www.facebook.com/mathulike/ and answer my latest questions :)

Find the number missing: 2 -> 4 -> 7 -> 11 -> 16 -> ???

Find the number missing: 77 -> 49 -> 36 -> 18 -> ???

Find the number missing: 1 -> 11 -> 21 -> 1211 -> 111221 -> ???

Can you find the number missing below.

99	45	39	36	28	21
72	27	18	21	??	13	7

P/s: THE QUESTION IS NOT WRONG

Need at least how many numbers to made the sum 100 from these numbers (only "+", you can use the number many times, some numbers are not needed.)?

40;39;24;23;17;16