Question

Seventy five times an integer minus 36 equals the square of the integer? Which equation could be used to solve for the unknown integer?

Answer 1

75x - 36 = x2

Explanation:

i think this is right, hope this helped

Answer 2

75x - 36 = x²

Explanation:

let x be the integer

75x - 36 = x²

More or less, translate each section of the problem in word form into algebraic form.

"Seventy five times an integer" is 75x

"minus 36" is -36

"equals the square of the integer" is = x²

To solve:

Since 75x - 36 = x² is a quadratic, use the quadratic formula.

Rearrange so that all terms are on one side.

This is called standard form (ax² + bx + c = 0)

75x - 36 = x²

0 = x² - 75x + 36

a = 1 b= -75 c=36

`x = \frac{-b ±\sqrt{b^(2)- 4ac} }{2a}` (ignore that weird A)

Substitute a, b and c into the quadratic formula to solve for x, the integer.