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What are the solutions of the equation (x 2)2 12(x 2) – 14 = 0? use u substitution and the quadratic formula to solve.

Sagot :

tushargupta0691

The solutions of the given equation is x = -8 + 5√2 and  x = -8 - 5√2.

The quadratic formula is used to find the roots of a quadratic equation. This formula helps to evaluate the solution of quadratic equations replacing the factorization method. If a quadratic equation does not contain real roots, then the quadratic formula helps to find the imaginary roots of that equation. The quadratic formula is also known as Shreedhara Acharya’s formula

(x + 2)² + 12(x + 2) – 14 = 0

Replacing x + 2 with u we get,

u² + 12u - 14

using quadratic formula we get

u = (-12 ±√(12² - 4x1 x-14))/2

u =(-12 ±√200)/2

u = -6 ± 5√2

x +2 = u = -6 ± 5√2

x = u = -8 ± 5√2.

Learn more about  quadratic formula here :

https://brainly.com/question/1353611

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