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?

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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) About Me  (Show Source):
You can put this solution on YOUR website!
The number is 3 or 5

Answer by y6n3o9p4(20) About Me  (Show Source):
You can put this solution on YOUR website!
Here's another way to write this: 8%2Ax%2B5+=+x%5E2%2B20 (x is the unknown number)
First subtract the right side from the equation, therefore moving it to the left side. 8%2Ax%2B5-x%5E2-20+=+0
Combine like terms. -x%5E2%2B8%2Ax-15+=+0
This is a quadratic equation, which can be solved using the quadratic formula: x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+
Enter the values into the formula and simplify until you have your answer.

x+=+%28-8+%2B-+sqrt%28+64-60+%29%29%2F-2+
x+=+%28-8+%2B-+sqrt%28+4+%29%29%2F-2+
x+=+%28-8+%2B-+2%29%2F-2+
This problem has two possible solutions.
Solution 1:
x+=+-6%2F-2+
x+=+3
Solution 2:
x+=+-10%2F-2+
x+=+5
The number is 3 or 5.