Nine more than seven times a number, n, gives the same value as one more than the square of the number. Write an equation and solve it to find the number.

7n + 9 = n² + 1

n = -1, 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Set up Equation

"Nine more" is + 9

"Seven times a number" is 7n

"One more" is + 1

"Square of the [same] number" is n²

7n + 9 = n² + 1

Step 2: Solve for n

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

none of the above.

for one of the equations to be used in the process, there has to be a term in the equation since squared is .

since there is only a term in the first equation, we cannot derive a from completing the square.

solving with completing the square