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

Q: Find the real solutions of the following equation. 2x+7-x+15 = 1

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Q: x2 + 14x +53 =0

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

Q: What are the roots of the equation x2 + 2x + 37 = 0 in simplest a + bi form?

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Q: Find either of the solutions to I – 4x + 20 = 0 (type in one solution) -

A: Given, The quadratic equation  x2-4x+20= 0  We have to find the solution

Q: Solve each equation in the complex number system. x(1 + x) = 2

A: Our Aim is to solve the equation given below:-x(1+x)=2-(i)

Q: Find all complex-number solutions by completing the square 2r2-3r=-7

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

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Q: Does the equation 4x2 + 20x + 25 = 0 have (a) two nonreal complex solutions, (b) two equal real…

A: 4x2+20x+25=0Formula: Discriminant, D=b2-4ac

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Given: to determine the number of possible positive, negative, and nonreal complex solutions of the…

Q: Solve x2 + 2x + 2 = 0 in the complex number system.

A: Explanation: Given that,  x2+2x+2=0   Concept Used: Quadratic formula- x=-b±b2-4ac2a

Q: What are the complex solutions for z2- 2 +5 = 0? 士

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Q: Find all solutions of the equation.

A: Given: f(x)=2x5 +3x3+7Differentiate  both sides we getf'(x)= 10x4 +9x2=0⇒x=0,0 and  x=±3i110 are the…

Q: In the following complex equation (28 - j3) * (A + j4) = (3 + j71) * (B + j3) Find the value of the…

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Q: Find all the complex solutions of the equation. x^6+64=0

A: Given equation is

Q: equation 1.    x² – 5x + 9 = 0  2.     x² – 2x = –10    3.     9x² + 6x + 1 = 0

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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: Find the  roots of the following equation x^2-2x=10

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Q: Solve each equation in the complex number system. x2 + x + 1 = 0

A: x2+x+1=0 Comparing with ax2+bx+c=0, we get a=1,  b=1  &  c=1

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

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Q: Question 3 Solve by completing the square to obtain exact solutions. x<+ 8x = 3 -4 19 -4 = 219 4 +…

A: Option 1 is correct.

Q: If 4.x2 100 = 0, the roots of the equation are %3D A +25 B-25, only C +5 D-5, only

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Q: Determine the nature of the roots of the following equations: (a) 3x +5x + 4 = 0 (c) x-8x+ 16 = 0…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

A: Given  X6+64 = 0

Q: What are the roots of the equation x2 + 14x + 50 = 0 in simplest a + bi form?

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

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Q: Find coefficients a, c where the quadratic equation with a complex solution. 2² + 8x + = 0

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Q: If the roots of the equation a(b – c)x² + b(c – a)x + c (a – b)=0 2 1.1 are equal, show that b а с a

A: Here we will show that 2b=1a+1c

Q: first use the discriminant to determine whether the equation has two nonreal complex solutions, one…

A: Given: 3x2 +4x = 2 To solve: The given quadratic equation.

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Descartes' rule of signs states that the number of possible positive real zeroes is equal to the…

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: Solve the equation z – 8 = 0, giving the results as complex numbers.

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Q: What are the roots of the equation 25x +90x + 82= 0 in simplest a + bi form?

A: If equation is ax2 + b x + c = 0 then solution is  x = -b±b2-4ac2a

Q: What are the roots of the equation 5x+ 15 = 17x in simplest a + bi form?

A: Given equation is 5x2-17x+15.

Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: That are the roots of the equation 4x2 8x – 7 in simplest a + bi form? %3D -

A: Explanation and solutions is given below....

Q: What are the complex solutions to the following equation? 3x2 – 2x + 3 = 0 -

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Q: Use the discriminat to determine whether the quadratic equation has two equal real number solutions,…

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Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: The number of positive real zeroes in y=p(x) is equal to the number of changes of sign of the…

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: What are the roots of the equation x2 – 2x + 17 = 0 in simplest a + bi form?

A: We know that roots of the quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a Now, the given…

Q: Solve each equation in the complex number system. x2 + 3 = x

A: Complex numbers are those numbers which is represented in the form of a + ib where is a real part…

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Descartes rule of sign: Let fx=anxn+an-1xn-1+...+a1x+a0 be a polynomial function with real…

Q: the value of x+y in the complex equation of 3 + xi = y + 2i is

A: Given: 3 + xi = y + 2i       To determine: the value of x+y

Q: Find all real and complex solutions of the equation. x2 + 6x + 10 = 0

A: The number of roots of an equation is equal to the highest degree of the equation. The roots of a…

Q: Find ALL the roots of the equation. 1 y = x° + 6x2 + x + 6

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Given equation              x5+4x4+3x3-4x+2=0

Q: Use Descartes’ rule of signs to determine the number of possible positive, negative, and nonreal…

A: Given equation is, 3x3-4x2+3x+7=0 Arranging the equation in standard form and counting the change in…

Q: Find the complex solutions x5÷2+8x3÷2+25x1÷2=0

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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.