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- Why are quadratic equations set equal to 0? - Physics Forums
First, quadratic equations are NOT necessarily set equal to 0 That is one way of solving a quadratic equation because then if we can factor we can use the "zero product property": if ab= 0 then either a= 0 or b= 0 If ab equals any number other than 0, that there are many ways to factor ab That is true because 0 has the special property that any number times 0 is equal to 0 Since that is
- Kinematics: when to use the quadratic formula? - Physics Forums
If there is no easier way to solve the problem It is possible to solve that problem without solving a non-trivial quadratic equation, but I don't think this is easier
- Why Solve Quadratics? Practical Examples of Their Use
Of all the material I learned in grade 11 math, solving quadratics and finding roots of other polynomials has probably been the most useful
- How Do You Factor a Quartic Polynomial into Quadratics?
In the quartic case, if there was an easy method to factor the quartic into quadratics, we could find the roots by solving the quadratics But it is not easy to find the roots, so it must be difficult to factor the quartic polynomial
- Quadratic Formula: Negative in root? - Physics Forums
The quadratic has no real roots, meaning that there are no real numbers that satisfy the equation ax 2 + bx + c = 0 The roots are complex numbers Have you encountered complex numbers before? In general, a complex number z can be expressed as a combination of a real and an imaginary number: z = a + bi, which makes sense because imaginary numbers are numbers that, when squared, yield a
- How does the discriminant work (quadratics) - Physics Forums
Hey autodidude The discriminant in a quadratic well tell you whether the quadratic has two real roots (discriminant > 0), one real root (discriminant = 0) or no real roots (two complex roots with discriminant < 0) The discriminant is a nice way to show the above and in certain applications, the nature of the above affects results that build on the result of solving these including things in
- Quadratics Having a Common Tangent - Physics Forums
I do know that since they have a common tangent line, that means: 2x+a = c-2x Since they both have the point (1,0), then since both equations should equal 0 when x = 1: c(1)-(1)^2 = 0 --> c = 1 So now, I replace c with 1 to solve for a in the two derivatives that are equal (common
- Application of quadratic functions to volleyball - Physics Forums
Homework Statement A player hits a volleyball when it is 4 ft above the ground with an initial vertical velocity of 20 ft s (equation would be h = -16t2 + 20t + 4) What is the maximum height of the ball? Homework Equations quadratic formula The Attempt at a Solution t = -20 ±√202 - 4(-16)(4)
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