If the product of two rational numbers is 1, then the two numbers are reciprocal; the reciprocal of a is expressed as ()

If the product of two rational numbers is 1, then the two numbers are reciprocal; the reciprocal of a is expressed as ()


1 / A, or a ^ (- 1), a is not equal to 0



If the product of two rational numbers is --------, then one of them is the reciprocal of the other, which is also called the two rational numbers


If the product of two rational numbers is [1], then one of them is the reciprocal of the other, which is also called the reciprocal of the two rational numbers



Determinant first line 1,2,3,4 second line 2,3,4,1 third line 3,4,1,2 fourth line 4,1,2,3
Is it equal to 160? It's different from the answer!


Step 1: add column 2,3,4 to column 1, put forward the common factor 10 of column 1, and change it into 1 23 41 3 4 11 4 1 21 1 23. Step 2: multiply the first row by - 1 and add it to other rows to get 1 23 40 11 - 30 2 - 2 - 20 - 1 - 1 - 1. Step 3: R3 - 2r1, R4 + R1, get 1 23 40 11 - 300 - 4 400 0 - 4



Simple calculation of 79 × 9 / 78-9 / 78


79×(9/78-9/78)
=9/78×(79-1)
=9/78×78
=9



How to find the limit of (2x-3) ^ 20 * (3x + 2) ^ 30 / (2x + 1) ^ 50 when x tends to infinity?


Numerator and denominator divided by x ^ 50
=lim(2-3/x)^20 *(3+2/x)^30 / (2+1/x)^50
=2^20*3^30/2^50
=3^30/2^30
=(3/2)^30



432÷54+17×54


Solution: 432 △ 54 + 17 × 54
=8×54÷54+17×(50+4)
=8+17×50+17×4
=8+850+68
=850+76
=926
Have a good time



Factorization of 25A square-10a + 1-B square


25A square - 10A + 1-B square
=(5a-1)²-b²
=(5a-b-1)(5a+b-1)



Simple calculation of 65 ^ 2 + 55 ^ 2-110 * 65


65²+55²-110*65
=65²+55²-2*55*65
=(65-55)²
=10²
=100



If y = 2x + B and circle x ^ 2 + y ^ 2 = 4x intersect at a.b2, and OA is perpendicular to ob, find the value of B


O is the coordinate origin
After the circle is simplified, we can get (X-2) ^ 2 + y ^ 2 = 4, and the center of the circle (2,0) passes through the origin
OA vertical ob
Then AB is the diameter
So the line AB passes through the center of the circle (2,0)
That is y = 2x + B over (2,0)
Substituting x = 2, y = 0 into the equation
B = - 4



Solving the equation x + 2x = 45


x=15