Answer: x = -5 and x = 3
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What are the solutions of the equation (x + 2)2 - 2(x + 2) - 15 = 0? Use u substitution to solve.
One particular solution is x = 0 y = 0 z = 0 . Two other solutions are x = 3 y = 6 z = 1 and x = 8 y = 9 z = 2 . There is a unique plane in three-dimensional space which passes through the three points with these coordinates and this plane is the set of all points whose coordinates are solutions of the equation . Solution sets
Wed Nov 10 2004 13:30:00 GMT-0500 (Eastern Standard Time) · In the paraxial approximation of the Helmholtz equation the complex amplitude A is expressed as = ()where u represents the complex-valued amplitude which modulates the sinusoidal plane wave represented by the exponential factor. Then under a suitable assumption u approximately solves ∇ ⊥ + ∂ ∂ = where ∇ 2 ⊥ ≝ ∂ 2 / ∂ x 2 + ∂ 2 / ∂y 2 is the transverse part of …
The substitution that is needed to solve this Bernoulli equation is ... A set of solutions to the Riccati equation is then given by = + where z is the general solution to the aforementioned linear equa...
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