Complex numbers Questions and Answers

Simplify the expression to a + bi form: √100+√-27-√√4+ √−108

Simplify the expression to a + bi form: √9-√-2+√64+ √-18

Express in simplest a + bi form: (6-5yi) (5-i) + (6 - 5yi)(2+i)

If a = -3 and b = -i, then find the value of a³b in fully simplified form. Answer: Submit Answer

Express (2/3 + √2/3i)² in simplest a + bi form.

(4-3i) ² in simplest a + bi form. Express √5 Answer: Submit Answer

Write as a trinomial in simplest form: (4z -3i)²

Write as a trinomial in simplest form: (4y - 51)2

Simplify the expression to a + bi form: (-7-9i) + (10 + 10i)

Simplify the expression to a + bi form: -√81-√-20+√1+√-80

Watch help video If a = -5i and b = 2 + i, then find the value of a³b in fully simplified form. Answer: Submit Answer

Simplify the expression to a + bi form: (4+2i)+(-12-2i)

Write √-18 in simplest radical form.

Simplify the expression to a + bi form: (-7-3i)(11- 8i)

Simplify the expression to a + bi form: (11 +5i)(-10-8i)

A fossilized leaf contains 34% of its normal amount of carbon 14. How old is the fossil to the nearest year? Use 5600 years as the half-life of carbon 14. A. 33,849 B. 3,357 C. 28,490 D. 8,716

Information is given about a polynomial function f(x) whose coefficients are real numbers. Find the remaining zeros of f. Degree 6; zeros: 2, 4+7i, -7-3i, 0

Multiply. (-5+3i)(-6+2i) Write your answer as a complex number in standard form.

Express √-64-√-49 as a complex number in standard form: √64-√√ 49 = Question Heln:

Consider the following polynomial inequality. x²(x + 8)(x - 1) > 0 Step 1 of 2: Set one side equal to zero and list the interval endpoints (the only points at which the non-zero expression can change sign).

What is the value of the modulus of 6 - 4i? Enter your answer as a simplified radical in the box.

If v= 2i - 3j and w=xi + 9j, find all numbers x for which ||v+w|| = 7. Select the correct choice and fill in any answer boxes in your choice below. A. x = B. There is no solution.

Rewrite the expression in a + bi form: -3 + i/6 +6i

Use a calculator to perform the indicated operations. Give the answer in rectangular form, expressing real and imaginary parts to four decimal places. 55(cos7π/9 + i sin7π/9)/27.5 (cos3π/8+ i sin3π/8)

Let z = -5 + 6i, and 22 = a + bi. What are the values of a and b? a = and b=

Determine the polar form of the complex number 5-3i. Express the angle in degrees, where 0 ≤ θ ≤ 360°, and round numerical entries in the answer to two decimal places. 5.83(cos329.04° - isin329.04°) 329.04(cos329.04°-isin329.04°) 329.04(cos5.83 + isin5.83°) 5.83(cos329.04° + isin329.04°)

Add or subtract. Write the answer in standard form. (17-12i) - (17 – 6i) Oa - 18i Ob 34 - 18i Oc 34 - 6i Od -6i

Write z₁ and 22 in polar form. (Express in radians. Let 0 ≤ θ < 2x.) z₁ = √2-√2i , z2 = 1 - i z1= z2 = Find the product z₁z2 and the quotients z1/z2 and 1/z1. (Express your answers in polar form with expressed in radians.) z1z2= z1/z2= 1/z1=

Given that 3-4i is a zero, factor the following polynomial function completely. Use the Conjugate Roots Theorem, if applicable. f(x) = x² - 16x³ + 109x²-394x + 600

Solve the equation using factoring or the quadratic formula, whichever is appropriate. a³ - 64 = 0 The real solution for a is 4 where the imaginary solutions are 1 +4 + 4 / 1 Hint: Your input was 4 and(1+-4i4)/1

Find the quotient 5i / (1 - i) and express it in rectangular form by first converting the numerator and the denominator to trigonometric form. (Type your answer in the form a+bi. Use integers or fractions for any numbers in the expression)

Which of the following represents vector t = -5i + 12j in trigonometric form? a)t= 13 (cos 67.38°, sin 67.38°) b)t= 13 (sin 67.38°, cos 67.38°) c)t= 13 (cos 112.62°, sin 112.62°) d)t= 13 (sin 112.62°, cos 112.62%)