4. Classify the solutions to the following equation using only the discriminant. Select one of the following: two distinct real number solutions, one real number solution that is a double root, two distinct complex number solutions 4y =-12y-9 4.

Q: Solve the following 3 quadratic equations using the quadratic formula: -b±yb²-4ac 2а a) 4x² + 12x +…

A: a)  4x2+12x+9=0    a=4 , b=12 , c=9   x=-12±(12)2-4(4)(9)2(4)    =-12±144-1448   =-12±08…

Q: GIVEN COMPLEX NUMBER 1. - 5i?-3i =

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Q: Noah and Lin are each trying to solve the equation x^2-6x+10=0. They know that the solutions to…

A: Given data: The given expression for the polynomial equation is x2-6x+10=0. The given expression can…

Q: Solve the following complex numbers. 0 ≥ θ ≥ 2Π If z5 = 1 - 2i

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Q: Solve the following equation using the quadratic formula. 2x2 = = -9x + 12 The solution set is (Type…

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Q: 5. ) If 3x + 4yi = z2, what is x+y equal to?

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Q: 1. Which of the following is a complex solution to the equation: (x+3)* -4 =-40? (1) 3+7i (3) -3 +6i…

A: hello greetings from Bartelby.i am here to help you.

Q: Use the meaning of cube roots to find an exact solution to the equation v*+ 2 =' --2 without using a…

A: The given equation is . The solution can be found by cubing both sides.

Q: What are the complex solutions to the following equation: 0.5x2-0.2x +0.2 0

A: Given equation is 0.5x2-0.2x+0.2=0find out the complex solution of the given equation

Q: x2 + v2 - 2x - 8y- 47 = 0 %3D

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Q: The given equation 4y – 2y2 +y – 3 = 0, how many - - complex roots are there? 3 O 2 01

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Q: Consider the unfinished equation 12(x−3)+18=___________. Match the following expressions with the…

A: Given:12x-3+18=?

Q: show that 1+i is a root of the cubic equation 3z^3-5z^2+27z-45=0, find the other two roots

A: 3z3-5z2+27z-45 = 0Using rational root test :±11, ±13, ±31, ±51, ±91, ±93, ±151, ±153, ±451,…

Q: 5. ) If 3x + 4yi = z2, what is x+y equal to?

A: We know that Euler's formula  e^(ix) = cos(x) + i sin(x)

Q: If (2+3) is one of the roots of the equation x² + (α-ix+bi=o find the valus of a b

A: given  one of the root of the equation x2+(a-i)x+bi=0 is 2+3i we have to find the value of a, b…

Q: Solve for Yo y=+5y-6%3D0 TF there is more than one Solution, Seperate them with commas. If there is…

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Q: 10. Which of the following quadratic equations has the complex number 2-i as a solution? A x2 +2 0…

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Q: A.x²_5X +4=0 By Qua dratic Formula: B. X +X + 20=0 By Completing the square:

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Q: Solve the following equation. Enter the real solutions and the complex solutions in the appropriate…

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Q: Solve the equation z + z=0,where z is a complex number.

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Q: Find all complex numbers that are solutions of the given equation. Leave your answers in standard…

A: Given complex equation is: z4+8+83i=0⇒z4=-8-83i⇒z=-8-83i14 Let us consider, r cos θ=-8  ;  r sin…

Q: Find the all solutions in complex numbers to the equation w? + 10w + 26 0.

A: We have to find the solution of quadratic equation in complex numbers: ω2+10ω+26=0 Where,  ω is the…

Q: I. Solve for the negative of the following complex numbers. a.z = 2- j8 b.-z = -3 + j45 C.z = 67 -…

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Q: If z = x + yi is a complex number, then |z| equals which of the following? (a) x? + y2 (c) Vx + y…

A: Given: z = x+iy  is a complex number. To write: From the given option the value of |z|.

Q: The product of the roots of equation 3x +9x-12=0 is إختر أحد الخيارات: -4 .a O .b O None of these cO…

A: Equation : 3x2 + 9x - 12 =0

Q: Solve for the value of each of the complex variable in the following equation. press your answers in…

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Q: Solve the following equation. 31 7 %3D 15x 3x 15

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Q: If the roots of the auxiliary equation are m = -1,-2,-2,-2, ±3i, -2 ±i, -2 ±i what is the…

A: If the roots of the auxiliary equation are              m = -1,-2,-2,-2, ±3i, -2 ±i, -2 ±i then we…

Q: Find all complex number solutions 3/ t-5 - 4t/t+5 = 56/ t2- 25

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Q: 2x^2 + 5x = 25 + 25i, determine the imaginary part. Express your answer in 4 decimal places.

A: The given equation is 2x2+5x=25+25i. We need to determine the imaginary part of x. We know the…

Q: GIVEN COMPLEX NUMBER 2. (4 + 5i )(4 – 5i)

A: Given complex number is (4 + 5i)(4 - 5i)

Q: What are the complex solutions to the following equation: 0.5x2 – 0.2x + 0.2 = 0 A 29 王で 6+ 2i2 C…

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Q: 10. Which of the following quadratic equations has the complex number 2-i as a solution? 22 +2 0 B 2…

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Q: 3.) 71 + z2 – Z3 + Zz

A: Given problem is solved below in detail

Q: Which correctly describes the roots of the following cubic equation? 2 - 3x + 4x - 12 = 0 | O three…

A: If D >0 then roots are real and distinct If D <0 then roots are imaginary If D=0 then roots…

Q: Solve for the value of each of the complex variable in the following equation. Express your answers…

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Q: Show that root of following quadratic equation are complex numbers a. 2x2 + x + 3 = 0 b. 7x2 + 5x +…

A: Compare the equation 2x2+x+3=0 with the general form of the quadratic equation ax2+bx+c=0, to find…

Q: Solve the following equation in the complex number system. Express solutions in both polar and…

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Q: Solve the following equation in the complex number system. Express solutions in both polar and…

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Q: i) Solve the equation (z – 2)3 =- N, leaving your answers in the form a+bi %3D 2

A: To find z for (z-2)³=(1/2)-√3i/2

Q: Show that the solution of the equation  4x2 + 24x + 37 = 0 are complex conjugates of each other.

A: Given quadratic equation: 4x2+24x+37=0

Q: -iz dz= e -i

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Q: Find all solutions of the equation and express them in the form a + bi.

A: Given: 70. t+3+3t=0

Q: Solve the following equation in the complex number system. Express solutions in both polar and…

A: Given  Z1=2+4i Z2=5e^2i Z3=4 cis 40°

Q: Find the roots of the equation z³ +2 – 2/3i = 0. %3| -

A: Given: z3+2-23i=0 So,  z3=-2+23iz3=2-1+3iz3=4-12+32i We know that z=rcosθ+isinθ=x+iy, where r=x2+y2,…

Q: What are the complex solutions to the following equation: 0.5x2 0.2x + 0.2 =0

A: multiply both sides by 10 compare this equation with  so we have

Q: Solve x2 + 25 0 over the set of complex numbers. +25 15i 土5 D 125i

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Q: Solve the equation in the complex number system. 18x +1 = 6x What is the solution set? (Simplify…

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Q: solve the given equation 2z2+12z=4 over the complex numbers. Present exact values of the solutions.

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Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.