There is a fence with a length of 100 meters, which is used with a wall of the house (assuming that the wall is long enough) to form a vegetable garden (rectangle) as shown in the figure. The width of the vegetable garden is t meters 1. The area of vegetable garden is expressed by the algebraic formula containing t 2. When t = 30m, calculate the area of vegetable garden 3. Use the computer to explore, when t takes what number, the algebraic expression in question 1 takes the maximum value, what is the maximum value you explore? Briefly write down your exploration process or guess

There is a fence with a length of 100 meters, which is used with a wall of the house (assuming that the wall is long enough) to form a vegetable garden (rectangle) as shown in the figure. The width of the vegetable garden is t meters 1. The area of vegetable garden is expressed by the algebraic formula containing t 2. When t = 30m, calculate the area of vegetable garden 3. Use the computer to explore, when t takes what number, the algebraic expression in question 1 takes the maximum value, what is the maximum value you explore? Briefly write down your exploration process or guess

There is a fence with a length of 100 meters. Use it and a wall of the house (assuming that the wall is long enough) to form a vegetable garden as shown in the figure (rectangle). Let the width of the garden be t meter 1. Use the algebraic formula containing T to express the area of the garden. The length of the garden is: 100-2t area: S = (100-2t) T2. When t = 30 meters, calculate the area of the garden s = (100-2 * 30

Given a2-3a-1 = 0, find the value of A2 + 1 / A2

Obviously, if a is not equal to 0, then a-3-1 / a = 0;
A-1 / a = 3, a Λ 2 - 2 + 1 / a Λ 2 = 9/
a2+1/a2=11

Given a 2-3a + 1 = 0, find the value of (a 2) 2 + 1 / (a 2) 2

a2+1=3a
Square on both sides
(a2)2+2a2+1=9a2
(a2)2+1=7a2
square
[(a2)2]+2(a2)2+1=49(a2)2
[(a2)2]+1=47(a2)2
Divide both sides by (A2) 2
(a2)2+1/(a2)2=47