Show that the equation x³ - 3x + 1 = 0 has exactly · 3x + 1 = 0 has exactly one solution in [−1, 1].

Q: Show that the equation cosx + x²³²-3 has a real root

A: Given: Equation: cos x+x3-3=e-xTo show: Given equation has a real root.

Q: Show that Q(4 - i) = Q(1 + i), where i = √-1.

A: To show that ℚ4-i=ℚ1+i. That is we need to show that ℚ4-i⊆ℚ1+i and ℚ1+i⊆ℚ4-i. Here i=-1 that is…

Q: Find a number x such that x + 1 / x − 2 = 3x

A: The expression could be x+1x-2=3x or x+1x-2=3x. If the expression is x+1x-2=3x, then…

Q: The number of non-negative integer solutions to the equation Y₁ + x3 + x4 + x5 + x6 = 7 is C(7+5-1,…

A: The given problem is to find the number of non negative integer solutions for the given equation by…

Q: For what value of x, 3x 2х 2:

A:

Q: What is the positive solution of x2 – 36 = 5x?

A: We have to find solution for given equation ...

Q: In(7x – 1)= In(3x + 7)

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 1/2x2 + x − y − 2 = 0 Find the zeros if any

A:

Q: Solve 9tan(20) – 3/3 = 0 exactly on 0 < 0 < 2n. л 7л 13л 19л 0 = 12' 12' 12' 12 5л 11л 17я 23л 12'…

A: Given that 9tan2θ-33=0  and  0≤θ&lt;2πSolution :9tan2θ=33tan2θ=339=33=13tan2θ=13…

Q: 3 x+2 x-3 2x+1 3x-1 2x+1

A:

Q: Given that z²z+1=0, show that 2019 = -1.

A: Given that  z2 - z + 1 = 0 We are to show that z2019 = -1