Guest Posted November 2, 2010 Report Share Posted November 2, 2010 (edited) 2Q+Q²=4Q How many different integers can Q be equal to? Edited November 2, 2010 by matthew laming Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 2, 2010 Report Share Posted November 2, 2010 On 11/2/2010 at 7:25 PM, matthew laming said: 2Q+Q²=4Q How many different integers can Q be equal to? Reveal hidden contents Q2-2Q = 0 Q(Q-2) = 0 Q = 2 or 0 so 2 integers. Quote Link to comment Share on other sites More sharing options...
0 bonanova Posted November 2, 2010 Report Share Posted November 2, 2010 On 11/2/2010 at 7:25 PM, matthew laming said: 2Q+Q²=4Q How many different integers can Q be equal to? Reveal hidden contents 2. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 2, 2010 Report Share Posted November 2, 2010 On 11/2/2010 at 7:35 PM, mordimar said: Reveal hidden contents Q2-2Q = 0 Q(Q-2) = 0 Q = 2 or 0 so 2 integers. On 11/2/2010 at 7:35 PM, bonanova said: Reveal hidden contents 2. yeah you got it. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 2, 2010 Report Share Posted November 2, 2010 Reveal hidden contents since it's a quadratic polynomial it's gonna have 2 solutions Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 2, 2010 Report Share Posted November 2, 2010 On 11/2/2010 at 8:00 PM, krityx said: Reveal hidden contents since it's a quadratic polynomial it's gonna have 2 solutions Reveal hidden contents Where I'm from we learn this in 7th or 8th grade. can't believe it's a puzzle Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 3, 2010 Report Share Posted November 3, 2010 (edited) Simple, but lets make it more scientific Reveal hidden contents 2Q + Q^2 = 4Q Q^2+2Q-4Q = 0 Q^2 - 2Q = 0 α=1 β=-2 γ=0 Δ = (β)2 - 4 * α * γ Δ = (-2)2 - 4*1*0 Δ = 4 Q1,2 = -(β) +- √Δ / 2 α = -(-2) +- √4 /2 = 2 +- 2 /2 ==> 1) 2+2/2 = 4/2 = 2 2) 2-2/2 = 0/2 = 0 Answer: Q sould be 2 or 0 Indeed: 2*2+22 = 4*2 4+4 = 8 8=8 2*0+0^0 = 4*0 0+0 = 0 Edited November 3, 2010 by Tsopi Quote Link to comment Share on other sites More sharing options...
0 Guest Posted November 3, 2010 Report Share Posted November 3, 2010 This made me wanna ask you if you can prove that x0 = 1 it is easy... Quote Link to comment Share on other sites More sharing options...
Question
Guest
2Q+Q²=4Q
How many different integers can Q be equal to?
Edited by matthew lamingLink to comment
Share on other sites
7 answers to this question
Recommended Posts
Join the conversation
You can post now and register later. If you have an account, sign in now to post with your account.