Given z₁ and Z2, find the distance between them. Z₁ = -5-7i and Z₂ = 8-3i √[?]

Q: g (x) is a polynomial that has a leading coefficient of 3 and the folla 2. Choose all the correct…

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Q: tan (? + ?/4) = −√3.

A: tan(? + ?/4) = –√3 To find the value of ? in the equation : tan(? + ?/4) = –√3 we can use the…

Q: 4-a. For the equation: (1–i)x+2i (2+3i)y+i + 3+i 3-i find the real value of x.

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Q: If x = 2 is one of the roots of P(x) = bx? – 12x + 4, find b.

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Q: Solve using the definition Sí 2x – x3 |

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Q: Solve  radical equation. (√3x + √18) = x

A: We first simplify √18

Q: Multiply the following. (5x° + 8y) (5x³ - 8y) (5x3 + 8y) (5x3 - 8y) = (Simplify your answer.)

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Q: Find the value of each expression if x = 2 and y = - 1. √x2 + √y2

A: The given expression is, x2+y2 We need to find the value of the given expression if x=2 and y=-1

Q: Solve each equation for x. (a) 2-5 = 3 (b) In x + In(x – 1) = 1

A: (a) Given: 2x-5=3  ……1

Q: If a + Band of = 5α-3 and ² = 5ß-3, find the equation whose roots are alß and pla.

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Q: -t,x-1 dt

A: Please see the explanation below

Q: Factor each expression completely. (a) 3x2 – 13x + 4 | (b) 3 cos2 0 – 13 cos 0 + 4

A: (a) part  Consider the given expression  3 x2-13 x+4 Then, 3 x2-13 x+4=3 x2-x-12 x+4=3 x2-x-12…

Q: Determine the number of real roots for thsi equation -x squared -5x +14= 0

A: The equation has two real roots which are 2 and -7

Q: Show that the equation is an identity.

A: We have the given equation as 3x-42x+1+5x=6x2-4

Q: | 1 – x²

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Q: Vipul

A: The objective of the question is to solve the given equations using the graph of the function. The…

Q: Express sin R as a fraction in simplest terms. √85 P √15 R 10

A: Consider the triangle

Q: Find all root s 3- V 8i

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Q: Find the distinct roots of (-7 + 2j)3/4.

A: We know that, 1.Let z =rcosθ +isinθ    then zn =rncosnθ +isinnθ 2. A number u is said to be an n-th…

Q: Express the following in complex exponential form: √x - jy Where x = 1.27 and y = 2.5. State the…

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Q: Solve for X, and check the extraneous roots. X/(X + 4) =11/(X2 -16) + 2/1

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Q: find x/y x = 2-9i;y = -4+6i

A: We can find the answer as below.

Q: -3t πT L (0/2) = ₁ a √5 +4+3 a √t

A: Solution:

Q: Find the roots: x3 = 2 - 3i

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Q: Find all the values for the fifth root of z = 32

A: We have to find all the values for the fifth root of z=32.

Q: (6],[X]=[4],

A: [6]10 [x]10=[4]10   Implies, [x]10 = [4]10  or [9]10

Q: Simplify. Give answers using positive exponents. (-3m-1611)-3 (-3m-1611)-³ =

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Q: -1 √₂² (3+2u) du -2

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