1) Use Cardano's method to find the one real root of the following cubic: 3 2 x + 3x + 6x+2=0 You may leave the answer in terms of radicals. (Make sure that your answer is in terms of the variable, x.)

Q: Use the quadratic formula to find the roots following quadratic: y = x² + 4x +5

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Q: What does Descartes’ Rule of Signs tell you about the real roots of x3 – x2 + 1 = 0 ?

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Q: Find the three cube roots of 1.

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Q: 6. If z = a+i is a root of the equation z² – 6z + 10 = 0, find the value of a, if a is a real %3D…

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Q: state nature of roots of 2x - 4x +3 = 0 %3D

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Q: Find the roots, including the complex ones, of 2x³– 3x? = 1 using Newton's method.

A: To find the roots using Newton's method, 2x3-3x2=12x3-3x2-1=0Let, f(x)=2x3-3x2-1…

Q: x² +24x = 16 (Burton)

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Q: Use the value of the discriminant, b² - 4ac, to determine the number and type of roots for x²-3x+7=0…

A: We have to use the value of the discriminant, b²-4ac, to determine the number and type of roots for…

Q: Given a cubic equation,            Find the roots of the equation by completing the following…

A: Find the roots of cubic equation using synthetic division

Q: 5x 4 22+3а — 40 4а —20

A: Given rational function 5xx2+3x-40-44x-20

Q: х? - 2 8х + 65 — 0

A: we use i = √-1 and Quadratic formula

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

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Q: Follow the following steps to find all three roots of the equation x³ + 3x² - 6x + 20 = 0. (a) Use…

A: Given: The cubic equation is given as x3+3x2-6x+20=0.

Q: Find three (3) distinct roots of the cuberoot of 8 and express the root in rectangular form.

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Q: 29. Use the quadratic formula to find the roots of the following quadratic: y = 2x² – 11x + 5 -

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Q: x2+8x-5=0 ​(Type an exact​ answer, using radicals as needed. Express complex numbers in terms of…

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Q: Answer the following: 1. Characterize the roots of the following quadratic equations using the…

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

A: Let x= (-7 + 2i)3/4 ⇒x4=-7+2i3 On Simplifying, ⇒x4=-259+286i--(1) Let, x=u+iv Now,…

Q: Use DeMoivre’s theorem to find the cube roots of 8 (i.e. let’s solve the equation z3 = 8 for z).

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Q: Solve the equation: z* = 8 V3 + 8i and draw the solutions in the complex plane by using Mathematica.

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Q: 1. Solve for x: 2x - 4x +7= 0. Write any complex solutions in terms of i and simplify any square…

A: The given equation is 2x2-4x+7=0. Calculate the complex solutions in terms of i and simplify any…

Q: Determine the exact roots of 0 = x2 – 7x + 7 using the guadratic formula.

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Q: Find all complex square roots of -2+2/3i. In other words, find all complex solutions of x=- 00..

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Q: Use the Quadratic Formula to find the following: a. 20x² + 7x-3=0 a. the value of the discriminant…

A: (a)