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.
Moreover one may use the trigonometric identities to simplify certain integrals containing radical expressions. [1] [ 2 ] Like other methods of integration by substitution when evaluating a definite integral it may be simpler to completely deduce the antiderivative before applying the …
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 Laplacian.
Pell's equation also called the Pell–Fermat equation is any Diophantine equation of the form − = where n is a given positive nonsq...
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