Separate 27 into two parts whose product is 92.

How to solve an algebra word problem using a quadratic equation.

For more in-depth math help check out my catalog of courses. Every course includes over 275 videos of easy to follow and understand math instruction, with fully explained practice problems and printable worksheets, review notes and quizzes. All courses developed and taught by me (experienced and certified math teacher 🤩).
With my courses you CAN reach your math goal! 💪

✓Help with Middle and High School Math (Public/Private Schools)
✓High School & College Math Test Prep
✓Teacher Certification Math Test Prep
✓Homeschool Math Program and Courses for Pre-Algebra, Algebra 1, Geometry, Algebra 2 and Pre-Calculus.

TC Math Notes

[Kleermaker]

We have to set up an equation. So X is 'number 1' and 27 - X is 'number 2'. Then you get: X(27 - X) = 92 => 27X - X^2 = 92 => - X^2 + 27X - 92 = 0 => X^2 - 27X + 92 = 0 (everything divided by -1) => (X - 23)(X -4) = 0 => X 1 = 23 and X 2 = 4. So the numbers are 23 and 4 (23 + 4 = 27 and 23 x 4 = 92).

[yusrnm]

I think in this case, using a quadratic equation for this particular problem is like using a bucket-loader to dig a fence post hole. I set up a table of terms that added up to 27: 1+26 - nope; 2 +25 - nope; 3 + 24-nope; 4+23-bingo! Eight quick steps, one solution. I did assume that it would be a single-digit number, and a double-digit number.

[cadfael]

Why use quadratics when you can use mental arithmetic? 92/2 = 46, 92/3 = 30ish, 92/4 = 23. QED.

[pawepluta]

17 minutes to solve something I've just done in 1 minute using an equation? I'm not even going to see how it was done in such a long way.

[ooolol]

it's Beautiful ❤️
Maths is beautiful 🤩😊

[dennis]

Although I appreciate your posts, they're too wordy! You take 10 min to say what can be done in one...