What is the value of a when (X-10) (x-a) + 1 is the complete square formula Factorization (valid before 20:00, April 6, 2010)

What is the value of a when (X-10) (x-a) + 1 is the complete square formula Factorization (valid before 20:00, April 6, 2010)


The reason is: 1. X & sup2; - (a + 10) x + 10A + 1,2. [x-0.5 (a + 10) & sup2;] & sup2;, 3. X & sup2; + 0.25 (a + 10) & sup2; - (a + 10) x, from 1,3 parts, we can get 0.25 (a + 10) & sup2; = 10A + 1, so, (a + 10) & sup2; = 40A + 4, reduced to a & sup2; - 20A + 96 = 0, finally we get that



If x ^ 2 + 2 (a + 4) x + 36 is a complete square formula, find the value of A


The original formula can be understood as (x + 6) ^ 2, split into x ^ 2 + 12x + 36, so 2 (a + 4) = 12, the solution is a = 2



19.9 square is calculated by the complete square formula, and (x-0.5) square - (x-1) (X-2)


19.9 square = (20-0.1) ^ 2 = 400-2 * 20 * 0.1 + 0.01 = 400-4 + 0.01 = 396.01
(x-0.5) square - (x-1) (X-2)
=x^2-x+1/4-x^2+3x-2
=2x-7/4



How to solve (5-x) (the square of 25 + 5x + x) by using the complete square formula?


(5-x)(25+5x+x^2)=(5-x)(25-10x+x^2+15x)=(5-x)【(5-x)^2+15x】
=(5-x)(5-x+15x)=(5-x)(5+14x)



Calculate with complete square formula: (x-3 / 1) (x + 3 / 1) (x ^ 2-9 / 1)


Original = (X & # 178; - 9 / 1) (X & # 178; - 9 / 1)
=X^4-9/2X²+81/1



Fill in the blanks with the complete square formula: 4-12 (X-Y) + 9 (X-Y) 2 = (??????) 2.


4-12(x-y)+9(x-y)2,=[3(x-y)-2]2,=(3x-3y-2)2.



Given that (x-1) (x + 3) (X-8) + m conforms to the complete square formula, the value of M can be obtained


(x-1)(x+3 )(x-8)=x³-4x²-29x-24
Then, M = - X & # 179; + 5x & # 178; + 31x + 25
Or M = - X & # 179; + 25X + 23.. too much



1. (x + 4) ^ 2. (2a-3 ^ 2) how to use the complete square formula to solve these two problems


1.(x+4)²=x²+8x+16
2.(2a-3)²=4a²-12a+9
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Try to prove that the sum of the product of four continuous integers and 1 is the square of an odd number
Give the answer before 5 o'clock today,


Let the first natural number be a, then the sum of the product and 1 of these four continuous natural numbers is a * (a + 1) * (a + 2) * (a + 3) + 1 A * (a + 1) * (a + 2) * (a + 3) + 1 = a * (a + 3) * (a + 1) * (a + 2) + 1 = (a ^ 2 + 3a) (a ^ 2 + 3A + 2) + 1 = (a ^ 2 + 3a) (a ^ 2 + 3a) + 2 (a ^ 2 + 3a) + 1 = (a ^ 2 +... (a ^ 2 + 3a) +



Try to explain that the product of four consecutive integers plus one is the square of an integer


Suppose the equation