So we're really solving the equation 0 is equal to negative 16t squared plus 20t plus 50. Or if you're comfortable with this on the left hand side, we can put on the left hand side. And so a time, at least in this problem that we're dealing with, we should only think about positive times.Tags: Dissertation Funding EducationResearch Paper Proposal Example ThesisDissertations On Business CyclesOutline For Research PapersShort Essay About AspirationsPollution China Photo EssayEssay About A Time You Learned A LessonPaper Research Rubric
And many questions involving time, distance and speed need quadratic equations.
These equations do look intimidating and more difficult to solve. don't worry, I am going to show you several methods for solving quadratic equations.
) And we know the total time is 3 hours: total time = time upstream time downstream = 3 hours Put all that together: Two resistors are in parallel, like in this diagram: The total resistance has been measured at 2 Ohms, and one of the resistors is known to be 3 ohms more than the other. The formula to work out total resistance "R = 3 Ohms is the answer. Quadratic Equations are useful in many other areas: For a parabolic mirror, a reflecting telescope or a satellite dish, the shape is defined by a quadratic equation.
Quadratic equations are also needed when studying lenses and curved mirrors.
So they give us the equation that can be used to model the height of the ball after t seconds, and then say about how long does it take for the ball to hit the ground. And the quadratic formula tells us that the roots-- and in this case, it's in terms of the variable t-- are going to be equal to negative b plus or minus the square root of b squared minus 4ac, all of that over 2a. So this is equal to 10 plus or minus the square root of 900, all of that over 16. Well, that's definitely going to be equal to 0.
So if this is the height, the ground is when the height is equal to 0. So if we apply it, we get t is equal to negative b. So negative negative 10 is going to be positive 10. And this over here, we have a-- let's see if we can simplify this a little bit. And this is equal to 10 plus or minus-- square root of 900 is 30-- over 16. Or t is equal to 10 minus 30, which is negative 20 over 16.
Among all these methods, factorization is a very easy method.
The roots of a quadratic equation are the values of 'x', which should satisfy the given equation.
The physics, we go into a lot more depth and give you the conceptual understanding on our physics playlist.
But let's verify that we definitely are at a height of 0 at 5/2 seconds, or t is equal to 5/2.