Current location - Training Enrollment Network - Mathematics courses - Math problem in the second day of junior high school!
Math problem in the second day of junior high school!
The sum of the areas of two squares is100 cm 2 2. It is known that the side length of a square is less than twice the side length of two squares times 10cm. Find the side length of these two squares.

Solution:

Suppose that one side of a square is X and the other side is 2x- 10.

x? +(2x- 10)? = 100

x? +4x? -40x+ 100= 100

5x? -40x=0

5x(x-8)=0

5x=0 or x-8=0.

So X 1=0, X2=8.

Because the side length is an integer, the root 0 is truncated.

Then x=8.

The other side length =2×8- 10=6.

I am a teacher. Thank you for your adoption.