Solving Problems Involving Quadratic Functions
Thus, it takes him hours to travel 360 miles against the current.
How long would it take Bonzo to eat 1260 hamburgers by himself? Calvin takes 5 hours longer to travel 360 miles against the current than he does to travel 360 miles with the current. Let x be the speed of Calvin's boat in miles per hour in still water, and let t be the time in hours it takes him to travel 360 miles with the current.
By identifying and understanding these core concepts related to quadratic functions, you can use quadratic equations to solve a variety of real-life problems with missing variables and a range of possible solutions.
Need help figuring out how to unpack and solve word problems involving quadratic equations? From Ramanujan to calculus co-creator Gottfried Leibniz, many of the world's best and brightest mathematical minds have belonged to autodidacts.
The length of the wire is 2 feet greater than the distance from the base of the tree to the stake.
Videos, worksheets, solutions, and activities to help Algebra 1 students learn how to solve geometry word problems using quadratic equations.
The difference of two numbers is 2 and their product is 224.
Their difference is 2, so I can write Their product is 224, so From , I get . The hypotenuse of a right triangle is 4 times the smallest side. By Pythagoras, The hypotenuse is 4 times the smallest side, so Plug into and solve for s: Since doesn't make sense, the solution is .
Many word problems Involving unknown quantities can be translated for solving quadratic equations Methods of solving quadratic equations are discussed here in the following steps. Step II: use the conditions of the problem to establish in unknown quantities.
Step III: Use the equations to establish one quadratic equation in one unknown.