Answered

Westonci.ca makes finding answers easy, with a community of experts ready to provide you with the information you seek. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals. Get quick and reliable solutions to your questions from a community of experienced experts on our platform.

the sum of a number and its square is 72. what is the number?

Sagot :

AL2006

Any equation that has something squared in it always has two solutions.
The equation that you'd use to solve this problem is no exception.

You said that    x² + x = 72

Subtract  72  from each side, and it says      x² + x - 72 = 0

That's the equation to solve, and when you do, the value of 'x'
is the answer to your puzzler.

You can solve the equation using the quadratic formula, or even
by factoring if you can handle it that way.

       (x + 9) (x - 8) = 0

         x = -9
and
         x = 8 .

Sure enough, they both work:

x = -9
x² = 81
x² + x = 81 - 9 = 72

x = 8
x² = 64
x² + x = 64 + 8 = 72

         yay !


We hope our answers were useful. Return anytime for more information and answers to any other questions you have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.