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Check it outSolving Quadratic Equations by Factoring  Problem 5 536 views
We can use a quadratic formula to relate the input time an object is in the air, with an output height of the object. This is often done in physics classes. The equation starts with a gravity constant (16 for feet per second, and 9.8 for meters per second) multiplied by t squared, plus the initial velocity times t, plus the initial launch height. From there, if we want to find how long it would take until the object reaches the ground, or in this case, reaches the water, we are looking for the xintercepts of the function (that is, the values of time that make the height zero.) If done correctly, we'll have one positive time that makes sense in the context of this problem, and one negative time that comes from the math model, but doesn't actually make sense in the real world context.
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Sample Problems (15)
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Solving Quadratic Equations by Factoring
Problem 1 12,579 viewsSolve by factoring:
x² + 4x = 0 
Solving Quadratic Equations by Factoring
Problem 2 9,869 viewsSolve by factoring:
x² + 2x = 15 
Solving Quadratic Equations by Factoring
Problem 3 9,122 viewsSolve by factoring:
x² + 6x + 9 = 0 
Solving Quadratic Equations by Factoring
Problem 4 8,808 viewsSolve by factoring:
3x² − 18x = 27 
Solving Quadratic Equations by Factoring
Problem 5 535 views 
Solving Quadratic Equations by Factoring
Problem 6 490 views 
Solving Quadratic Equations by Factoring
Problem 7 424 views 
Solving Quadratic Equations by Factoring
Problem 8 412 views 
Solving Quadratic Equations by Factoring
Problem 9 426 views 
Solving Quadratic Equations by Factoring
Problem 10 416 views 
Solving Quadratic Equations by Factoring
Problem 11 374 views 
Solving Quadratic Equations by Factoring
Problem 12 397 views 
Solving Quadratic Equations by Factoring
Problem 13 364 views 
Solving Quadratic Equations by Factoring
Problem 14 404 views 
Solving Quadratic Equations by Factoring
Problem 15 384 views
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