Let A. B be a rational number. If we define the operation symbol "* B" as the square of a - the square of B = a = 2B, when we ask what the value of X is, the value of formula x * X-2 is 9

Let A. B be a rational number. If we define the operation symbol "* B" as the square of a - the square of B = a = 2B, when we ask what the value of X is, the value of formula x * X-2 is 9

That is, a = x, B = X-2
So x 2 - (X-2) 2 + X + 2 (X-2) = 9
x²-x²+4x-4+x+2x-4=9
7x=17
x=17/7

It is specified that * is a new operation symbol and a * b = ab-2a. Try to calculate 4 * (- 2 * 3) I see a lot of answers are - 16, don't copy it to me! This is my calculation: a*b=ab-2a So - 2 * 3 is a = - 2, B = 3 So = - 2 × 2 = - 2 × 2 So 4 * (- 2 * 3) = 4 * (- 2) In this case, a = 4, B = - 2 So 4 * (- 2 * 3) = 4 × (- 2) - 2 × 4 = 0

The wrong answer is the last step
It should be: 4 * (- 2 * 3) = 4 × (- 2) - 2 × 4 = - 16, not 0

The definition of operation symbol "*" is: a * b = a + B There are two conclusions: (1) the operation "*" satisfies the commutative law; (2) the operation "*" satisfies the associative law A. Only (1) is correct B. Only (2) is correct C. Both (1) and (2) are correct D. Neither (1) nor (2) is correct

(1) is correct; and ∵ (a * b) * C = a + bab + Ca + bab · C, a * (b * c) = a * B + CBC, = a + B + CBC, = a + B + CBCA · B + CBC, ((a * b) * C ≠ a * (b * c) ? (a * b) * C = a + bab * C, = a * B + CBC, = a + B + CBCA · B + CBC, (a * b) * C ≠ a * (b * c) ? (a * b) ? (a * c) + Ca + bab bab CBC, = a

If the sign "*" is specified to mean a * b = a × B A + B, such as 1 * 2 = 1 × 2 1 + 2, find the value of 2 * (- 3) * 4

According to the meaning of the title: 2 * (- 3) * 4 = 2 × (− 3)
2+(−3)*4=6*4=6×4
6+4=2.4．

An operation is defined by the symbol "@": for rational numbers a, B (a = / 0, a = / 1), there are a@b=2007a+2008 |The square of b| / A-A If 2008@x=2 X =, then?

2007+|x|=2007*2
So x = ± 2007

If the meaning of symbol "ා" is defined as a ා - B = AB / A + B, find the value of 2 ා - 3) ා 4

Take 2 ා - 3) as a number x, then the original title is x ා 4
Let x = 2 ා - 3) = 2 * (- 3) / 2-3 = 6
The original title is = 6 × 4 = 6 * 4 / 6 + 4 = 24 / 10 = 2.4

"△" is a symbol of operation, its meaning is: a △ B = 2a-b, if x △ (1 △ 3) = 2, then x is equal to () A. 1 B. 1 Two C. 3 Two D. 2

∵x△（1△3）=2，
x△（1×2-3）=2，
x△（-1）=2，
2x-（-1）=2，
2x+1=2，
∴x=1
2．

"@" represents an operation symbol, and its meaning is A@B=2A-B If x@（ 3@4 ）=2, then x = ()

X@ ( 3@4 =2
x@(2*3-4)=2
x@2=2
2x-2=2
2x=2+2
2x=4
X=2

*Denotes an operation symbol, whose meaning is a * b = 2a-b. if | x * (1 * 3) | = 2, find X

1*3=2-3=-1
|X * (- 1) | = | 2x - (- 1) | = | 2x + 1 | = 2 2x + 1 = 2 or 2x + 1 = - 2, x = - 1.5 or 1 / 2

"*" denotes an operation symbol, which means a * b = 2a-b. if x * (1 * 3) = 2, then x equals ()

Zero point five