i am stuck on these 2 problems, any help would be appreciated!
1.If 5 times the square of an integer is decreased by 32 times the number the result is 21. Find the number.
2.the sum of the squares of two positive consecutive integers is 113. Find the numbers.
Get all the terms on one side and make sure everything is expanded fully. the first equation becomes:
the second equation becomes:
These forms should look familiar, they are quadratic equations. we are expecting integer solutions so you should be able to factor, but if you are lazy, you can use the quadratic formula
Can you take it from here?