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Equation of a Plane : Intercept Form

Find the numb...

Question

Find the number of solutions of |x-1|+|x-2|+|x-3|=10

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Q. Number of solution(s) of equation

| x - 1 | - | x - 2 | = 10

Q. Find the number of solutions of the equations

(sin x - 1)^{3} + (cos x - 1)^{3} + (sin x)^{3} = (2 sin x + cos x - 2)^{3}

[0, 2 π]

Q. Number of real solutions of the equation

| x - 3 |^{3 x^{2} - 10 x + 3} = 1

Q. Find the number of natural number solutions of

x_{1} + x_{2} + x_{3} + 3 x_{4} = 15

.

Q. Find all the solutions of the equation

| x - 1 |^{(log x)^{2} - log x^{2}} = | x - 1 |^{3}

, where base of logarithm is

10

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