Solve by completing the square. x=: (Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression. Use a comma to separate answers as needed. Type each solution only once. Express complex numbers in terms of i.) x2 - 8x + 15 = 0

Q: Use the quadratic formula to solve the following equations. Note in each case that the roots are not…

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Q: Solve the equation. Write complex solutions in standard form. x² + 3 = 0

A: the given equation Compare the standard quadratic equation

Q: Which statement accurately describes the number and type of solutions for this quadratic, -2x2 + 16x…

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Q: Use the discriminant to determine how many and what kind of solutions the quadratic equation 3x2 –…

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Q: Solve the equation 4x2 - 4x + 5 = 0 in the complex number system.

A: The given equation is 4x2-4x+5=0. On comparing the given equation with the standard equation…

Q: Use the discriminant to determine the number of solutions to the quadratic equation −u^2−10u−45=0.

A: Consider a quadratic equation of the form, The discriminant of the above quadratic equation is…

Q: Subtract. (-3+5i)– (-4+6i) Write your answer as a complex number in standard form.

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Q: For what values of c does the equation x^2-6x+c=0 have complex number solutions? (Enter your answer…

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Q: Solve and express solutions in standard form: x? = 4x - 8. %3D

A: Given quadratic equation is: x2=4x-8 This equation can be re-written as: x2-4x+8=0 We have to solve…

Q: Solve the equation by completing the square. If necessary, express radicals in simplest form. 3) x2-…

A: We have to solve the given equations.

Q: Solve the equation x2 - 4x + 8 = 0 in the complex number system.

A: Given: x2-4x+8=0

Q: Use the discriminant to determine the number of solutions to the quadratic equation 12q^2+10q+4=0…

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Q: Use the discriminant to determine whether the quadratic equation below has one real number solution,…

A: A polynomial equation whose degree is 2, is known as quadratic equation. A quadratic equation in its…

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: Use factoring by grouping to determine all solutions to the polynomial equation 4x +12x? +9x+27=0 3.…

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Q: d. 4-2x 3 *—1= 2x 6 e. |4x - 5| - 3 = -2

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

A: Given  X6+64 = 0

Q: Solve the equation by the square root property. (7x -4) =33 %3D The solution set is (Type an exact…

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Q: Solve using the quadratic formula Im² –13m+15 =10 – 9m . Write answers in simplified radical/complex…

A: The quadratic formula for the equation Ax2+Bx+C=0 is x=-B±B2-4AC2A.

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: (2 – i)³-t. Express your answer in rectangular form.

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Q: 6) Solve and write your answers in standard form of complex numbers. x(x – 4) = -5

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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: a. √5x-1=3 b. x(x-8)= -20 c. x4 13x² + 36 = 0

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Q: Solve the equation in the complex number system. x2 - 8x + 17 = 0 .... . The solution set is 4+ i>.…

A: Question is solved.

Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

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Q: Solve for the roots in simplest form by completing the square: 2 + 18r – 27 = 0 Answer: Submit…

A: The quadratic equation is x2+18x-27=0.

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: 4x2- 20x + 25 = 0Given equation is in the form of ax2+bx+c=0 The formula for discriminant is…

Q: Solve the equation in the complex number system. x2 - 10x + 106 = 0 ..... The solution set is (Use a…

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Q: Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw…

A: Given data: The given expression is x3+1=0. The given expression can be written as,…

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: Use the discriminant to determine whether the quadratic equation has two equal real number…

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

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Q: Evaluate the discriminant for the following equation. Then use it to determine the number of…

A: Given equation, x2-42x+441=0 We know that if Discriminant of equation that ∆=0, then roots are real…

Q: Use the discriminant to determine whether the quadratic equation has two equal real number…

A: Use the discriminant to determine whether the quadratic equation has two equal real number…

Q: Solve for the roots in simplest form by completing the square: a + 12a – 28 = 0 || Answer: Submit…

A: X2 + 12X - 28 = 0 X2 + 14X - 2X - 28 = 0

Q: Solve the equation in the complex number system. x + 3x +4 = 0

A: The given equation is x2+3x+4=0. Compare the given equation with ax2+bx+c=0. Here, a=1, b=3 and c=4

Q: Multiply both sides of the equation by the LCD and solve the resulting quadratic equation. (Enter…

A: The given equation is x+4x=5

Q: how do i solve this operation and express the answer as a simplified complex number ? step by step…

A: We need to simplify the given expression

Q: Solve each equation in the complex number system.(a) x2 = 4 (b) x2 = - 9

A: x2=4 On simplification, we get ⇒x=4⇒x=±2

Q: Solve the equation using the quadratic formula. x + 8x-6=0 X= (Type an exact answer, using radicals…

A: Solution of the quadratic equation ax2+bx+c=0 is  given by quadratic  formula x=-b±b2-4ac2a

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

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Q: how do i solve this operation and express the answer as a simplified complex number ? step by step…

A: The given complex number is,

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: We know that, for a standard form of quadratic ax2+bx+c=0, the value of discriminant D is calculated…

Q: Solve the equation in the complex number system. x - 2x + 26 = 0 }. (Use a comma to separate answers…

A: Given,

Q: find the discriminant of each equation and determine whether the equation has (1) two nonreal…

A: Conversion of the given equation into the standard equation and formula of discriminant helps to…

Q: 4x? + 9y? = 36 %3D x + 3y = 3

A: find the solution of 4x2+9y2=36x+3y=3

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: Solve each equation over the set of complex numbers, find the magnitudes of the solutions and draw…

A: Given,           The equation is x6+1=0 .

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.