Question

Dexter thinks of a number, x. He subtracts 4 from his number and multiplies the answer by his original number. His answer is 60 a) Use this information to form a quadratic equation of the form x² + ax + b = 0​

Answer 1

Let y = x - 4, then xy = 60.

Expanding the product on the right side, we have x(x-4) = 60.

Expanding the left side, we have x² - 4x = 60.

Adding 4x to both sides, we have x² = 60 + 4x.

Re-arranging the equation, we have x² - 4x - 60 = 0.

Thus, the quadratic equation is x² - 4x - 60 = 0.