If △ is the new operation symbol and a △ B = 5A + 8b, calculate the value of 2 △ 3

If △ is the new operation symbol and a △ B = 5A + 8b, calculate the value of 2 △ 3

2△3
=5*2+8*3
=34

A * b = 1 / 3 (a-b) - 1 / 4 (B-A) 1. Find the value of 5 * (- 5) 2. Solving the equation 8x (2 * x) + 3 * x

a*b=1/3(a-b)-1/4(b-a)=7/12(a-b)
5*(-5)=35/6
8x(2*x)+3*x=0
8x×7/12×(2-x)+7/12(3-x)=0
16x-8x^2+3-x=0
8x^2-15x-3=0

It is specified that △ is an operation symbol and a △ B = the square of a - the square of B. try to calculate the value of 4 △ (3 △ 2)

Square of a - square of B = (a + b) (a-b)
4△(3△2)
=4△[(3+2)x(3-2)]
=4△5
=(4+5)x(4-5)
=-9

It is specified that * is an operation symbol, and a * b = B power of a - a power of B. try to calculate the value of 4 * (3 * 2)

4 * [the second power of 3 - the third power of 2]
=4*〔9-8〕
=4*1
=The first power of 4 - the fourth power of 1
=4-1
=3

If the sign "*" indicates the following operation: a * b = a + B 2, then (1 * 2) * - 3) = -___ .

Original formula = 1 + 2
2*(-3)
=3
2*(-3)
=3
2-3
Two
=-3
4.

How to fill in the operation symbol 3 3 3 3 = 2

(3×3-3)÷3=2

3 3 3 3 = 8 (fill in operation symbol)

3× 3- 3 ÷3=8

The operation process of the new operation symbol * is defined as a * b = 1 / 3-1 / 4, and 2 * (2 * x) = 2 * x is calculated

2*(2*x)=2*x
 
2 * (2-4 of 3) = x of 2-4 of 3
 
3x-2 / 3 / 2
 
2-48 of 3 (8-3x) = 2-4 of 3
 
-1 in 6 + 16 in x = - 4 in X
 
5 in 16 x = 1 in 6
 
X = 8 of 15
 
 
 

Calculate 1-1 / 6 + 1 / 42 + 1 / 56 + 1 / 72 + 1 / 90 fraction

1-1/6+1/42+1/56+1/72+1/90
=1-1/6+(1/6-1/7)+(1/7-1/8)+(1/8-1/9)+(1/9-1/10)
=1-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10
=1-1/10
=9/10

1-1 6+1 42+1 56+1 72+1 90.

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