SOLUTION: If a number multiplied by 8 and then increased by 5 is 20 more than the square of the number. What is the number?

Algebra.Com
Question 825039: If a number multiplied by 8 and then increased by 5 is 20 more than the square of the number. What is the number?
Found 2 solutions by phoihe001, y6n3o9p4:
Answer by phoihe001(34)   (Show Source): You can put this solution on YOUR website!
The number is 3 or 5
Answer by y6n3o9p4(20)   (Show Source): You can put this solution on YOUR website!
Here's another way to write this: (x is the unknown number)
First subtract the right side from the equation, therefore moving it to the left side.
Combine like terms.
This is a quadratic equation, which can be solved using the quadratic formula:
Enter the values into the formula and simplify until you have your answer.




This problem has two possible solutions.
Solution 1:


Solution 2:


The number is 3 or 5.

RELATED QUESTIONS

if 5 times a number is increased by 8 is 53 then what is the... (answered by ReadingBoosters)
if a number is multiplied by 7 and this product is increased by 7, the result is 1 less... (answered by MathLover1)
A number is doubled and then the product is increased by 6. This sum is then multiplied... (answered by ankor@dixie-net.com)
if a number is multiplied by 8, the difference of this product and 3 is twice the number... (answered by Timnewman)
If a number is multiplied by 7 more than 3 times that number, the result is 20. Find the... (answered by ReadingBoosters)
a number is divided by 3. then 20 is subtracted. if the result is then multiplied by 5,... (answered by Edwin McCravy)
when the opposite of a number is increased by 5 then doubled, and then added to twice the (answered by edjones,solver91311)
If a number is increased by five and then trepled the result is six more than two thirds... (answered by stanbon)