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anonymous
 5 years ago
2x^37x^2+x+6 one of the root is x=3 find the remaining roots. i got to this step 2x^2x2=0 i cant factor it so what do i do?
anonymous
 5 years ago
2x^37x^2+x+6 one of the root is x=3 find the remaining roots. i got to this step 2x^2x2=0 i cant factor it so what do i do?

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amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1if you know a root is 3 syndivide it 3  2 7 1 6 0 6 3 6  2 1 2 0 (2x^2 x 2) = 0 2*2 = 4 1,4; 2,2 neither subtract to 1 so complete the square/ quad formula it

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1mid# sqrt(mid#^2  4(first)(last))  +  2(first#) 2(first#)

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.11/4 + sqrt(1+16)/4 1/4 + sqrt(17)/4

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.12x^2 x 2 = 0  2 x^2 (1/2)x 1 = 0 x^2 (1/2)x + ___ = 1 + ___ x^2 1/2x + 1/16 = 1 + 1/16 (x1/4)^2 = 17/16 x 1/4 = + sqrt(17/16) = +sqrt(17)/4 x = 1/4 + sqrt(17)/4

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0i mean what happen to 1 and how is 1/16 come from

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1a complete square can change back and forth like this: (x+2)^2 <> (x^2 +4x +4) right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1an incomplete square is stuck... (x^2 +4x + ___ ) is stuck and cant change without first 'completing the square' right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1what we need are 2 numbers that add to 4 and multiply them together to get the missing term; but those 2 numbers have to be the SAME number. 3+1 cant work to complete the square 51 cant work to complete the square we need to identical numbers in order to complete the square... n+n = 4 2n = 4 n = 4/2 = 2 2+2 = 4; the missing term is the 2*2; which equals 4 right?

amistre64
 5 years ago
Best ResponseYou've already chosen the best response.1x^2  6x + ___ ??? we need to complete this square n+n = 6 2n = 6 n = 6/2 = 3 since 3+3 =6; the missing term is 3.3 = 9 x^2 6x +9 is a complete square right?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0yup! fantastic thank you very much!!
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