Quadratic Word Problems

[Genocide]

Ok, even with notes I can't seem to understand any of these:

1) Find three consecutives integers so that the square of the first, added to the last is 8.

2) The length of a rectangle is 2 more than twice the width. The area is 60 square centimeters. Find the dimensions of the rectangle.

3.) One positive integer is 3 less than a second positive integer. The sum of the squares is 65. Find both integers.

4.) x(Squared) - 10 = 3x

5.) x(Squared) = 7x + 18

6.) x (x-9) = 36

Any help would be appreciated.

 

[stapel]

Ok, even with notes I can't seem to understand any of these....

Since we cannot here provide the classroom lectures you seek, please consider studying some of the many great lessons available online. :idea:

To learn, in general, how to "translate" English questions into mathematical expressions and equations, try here:

. . . . .Google results for "translate word problems"

To learn techniques for some specific word-problem types, try here:

. . . . .Google results for "number consecutive word problem"

. . . . .Google results for "geometry dimensions word problem"

To learn how to simplify the parenthetical expressions and to solve equations, try here:

. . . . .Google results for "solving linear equations"

. . . . .Google results for "simplifying parentheses"

. . . . .Google results for "factoring quadratics"

. . . . .Google results for "solving quadratic equations"

Once you have studied what you need from the above links, and have learned the basic terms and techniques (so you can at least get started, and can probably make good progress), please attempt the exercises. If you get stuck, or if you are unsure of your steps or solutions, kindly please reply showing all of your work and reasoning.

Thank you!

Eliz.