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We can use algebra techniques to solve geometry problems here we look at one problem about the area of a rectangle, and another about finding the side lengths of a right triangle. Areas often involve the product of two or more numbers, so if you're multiplying two or more x's, you're likely to need to use factoring. Make sure you get your equation rewritten in standard form (equal to zero) before you factor. Then use the zero product property to solve for x. If you get two answers, there's a good possibility that one of the answers will not make sense in geometry problem context (for example, you couldn't have an x answer that makes one of your side lengths negative.) If this happens, that answer is just not one of your solutions. For the Pythagorean Theorem, make sure you FOIL to square each side properly. Again, write it in standard form, solve using factoring and the zero product property, and make sure your final x answers make sense.
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Sample Problems (15)
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Solving Quadratic Equations by Factoring
Problem 1 12,618 viewsSolve by factoring:
x² + 4x = 0 
Solving Quadratic Equations by Factoring
Problem 2 9,905 viewsSolve by factoring:
x² + 2x = 15 
Solving Quadratic Equations by Factoring
Problem 3 9,168 viewsSolve by factoring:
x² + 6x + 9 = 0 
Solving Quadratic Equations by Factoring
Problem 4 8,842 viewsSolve by factoring:
3x² − 18x = 27 
Solving Quadratic Equations by Factoring
Problem 5 556 views 
Solving Quadratic Equations by Factoring
Problem 6 511 views 
Solving Quadratic Equations by Factoring
Problem 7 441 views 
Solving Quadratic Equations by Factoring
Problem 8 430 views 
Solving Quadratic Equations by Factoring
Problem 9 442 views 
Solving Quadratic Equations by Factoring
Problem 10 434 views 
Solving Quadratic Equations by Factoring
Problem 11 386 views 
Solving Quadratic Equations by Factoring
Problem 12 415 views 
Solving Quadratic Equations by Factoring
Problem 13 383 views 
Solving Quadratic Equations by Factoring
Problem 14 423 views 
Solving Quadratic Equations by Factoring
Problem 15 403 views
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