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- Factoring the LHS gives2 KB (422 words) - 15:20, 5 March 2023
- We know since all numbers on LHS are non-negative therefore 0≤N and N is a integer.12 KB (1,993 words) - 22:47, 27 October 2024
- We are trying to get <math>a^2+b^2-2f^2+2de</math> on the LHS, because then the RHS would be <math>c^2</math>.6 KB (1,003 words) - 23:02, 19 May 2024
- ...quation <math>3x-9y=3(x-3y)=17</math>. <math>3</math> is a divisor of the LHS (also notice that <math>x-3y</math> must always be an integer). However, <9 KB (1,434 words) - 00:15, 4 July 2024
- ...:center"><math> 2(a^2 - ab) = a^2 - ab </math> (factoring out a 2 on the [[LHS]])</div>2 KB (429 words) - 07:27, 5 June 2013
- Simplifying the LHS gives <math>49x^2=14x</math>, which then simplifies to <math>7x=2</math>.590 bytes (84 words) - 13:28, 31 May 2023
- We can see that the LHS is <math>cis(n(90^{\circ}-t))</math>, and the RHS is <math>cis(90^{\circ}-n6 KB (1,154 words) - 02:30, 11 January 2024
- ...= - 3(m-1)</math>. Then, note that all but the first and last terms on the LHS cancel out, leaving us with <math>a_m\cdot a_{m-1} - a_1\cdot a_0 = -3(m-1)3 KB (499 words) - 17:52, 21 November 2022
- If we don't see the fourth power, we can always factor the LHS to try to create a quadratic substitution. Checking, we find that <math>x=04 KB (686 words) - 11:52, 13 June 2024
- ...cient of the RHS is <math>-1</math> because the leading coefficient of the LHS is <math>-1</math>.6 KB (1,051 words) - 18:35, 1 August 2024
- ...}</math>, so <math>\frac{425}{510}=\frac{x}{510-d}</math>. Simplifying the LHS and cross-multiplying, we have <math>6x=2550-5d</math>. From the same trian11 KB (1,879 words) - 20:04, 8 December 2024
- ...that <math>n = \boxed{019}</math> is the smallest <math>n</math> for which LHS will be less than <math>\frac{1}{1000}</math>. ~ Hyprox14134 KB (673 words) - 18:48, 28 December 2023
- ...ive we need a positive for it to cancel out to grow. We can make the <math>LHS</math> grow by approximately <math>2</math> every time we choose a negative2 KB (394 words) - 09:21, 27 January 2024
- Note that <math>n</math> is even, since the LHS consists of two odd and two even numbers. By Fermat's Little Theorem, we kn6 KB (874 words) - 14:50, 20 January 2024
- ...becomes almost identical to Solution 1). Factor <math>z^5</math> from the LHS, to get <math>z^5( z^2 - z + 1) = 1</math>. Call the set of roots from <mat Combining the two terms of the LHS, we get that <math>\frac{x^{11}-x^9-x^2+1+x^9-x^6-x^3+1}{x^5-x^3-x^2+1}=1</6 KB (1,064 words) - 22:24, 28 September 2024
- ...yz+xz+x+y+z = k+34</math> Notice that the LHS of this equation matches the LHS equation that I said was important. So, the RHS of both equations are equal5 KB (766 words) - 23:46, 8 November 2024
- ...base-<math>7</math> digits, it follows that <math>a_i < 7</math>, and the LHS is less than or equal to <math>30</math>. Hence our number can have at most3 KB (502 words) - 10:28, 9 December 2023
- ...us, <math>y^2 - 36 = x^2 - 225 \Longrightarrow x^2 - y^2 = 189</math>. The LHS is [[difference of squares]], so <math>(x + y)(x - y) = 189</math>. As both3 KB (490 words) - 17:13, 13 February 2021
- Subtracting the LHS from the RHS,1 KB (214 words) - 14:06, 18 October 2015
- <math> 2(a^2 - ab) = a^2 - ab </math> (factoring out a 2 on the [[LHS]])1 KB (153 words) - 07:29, 5 June 2013