# algebra

Find the exact solutions to the quadratic equation in the complex numbers.
(x-13)²=-36

1. 👍 0
2. 👎 0
3. 👁 134
1. x - 13 = + sqrt (-36)
x = 13 + 6 i
or
x-13 = - sqrt (-36)
x = 13 - 6 i

Note that those two solutions are complex conjugates.

1. 👍 0
2. 👎 0
posted by Damon

## Similar Questions

1. ### Algebra II

Find the exact solutions to the quadratic equation in the complex numbers. (x-13)²=-36 HELP ME PLEASE!

asked by hot on July 1, 2011
2. ### Algebra II

asked by Reanna on July 3, 2011
3. ### Pre calculus

asked by HELP on July 3, 2011
4. ### math

First try to solve the equation by factoring. If you are unable to solve the equation by factoring, solve the equation by using the quadratic formula. For equations with solutions that are irrational numbers, give exact solutions

asked by anonymous on September 27, 2018
5. ### Algebra

1)Find the exact solutions to 3x^2=5x-1 using the quadratic formula. answer=5 plus or minus the square root of 37 over 6 2)Use the discriminant to determine the number and type of roots for the equation 2x^2-7x+9=0 answer=2

asked by Marissa on August 12, 2007
6. ### Math

Use the quadratic formula to solve the equation. x² - x = -2 Type an exact answer, using radicals as needed. Express complex numbers in terms of i. Use integers or fractions for any numbers in the expression. Use a comma to

asked by Mary on April 24, 2011
7. ### Algebra II

1)What method(s) would you choose to solve the equation: x2 + 2x - 6 = 0 A. Square roots; there is no x-term. B. Quadratic formula, graphing; the equation cannot be factored easily since the numbers are large. C. Factoring; the

asked by Hally on January 15, 2013
8. ### Algebraic

Determine the roots of the quadratic equation by completing the square. Solve for exact solutions and approximate solutions. Check your solutions. Y=x2-6x-12

asked by rian on March 29, 2016
9. ### trig

find the exact solutions (è in degrees) sin^2è+2cosè=-2 change the sin^2 to 1-cos^2, then rearrage the equation into quadratic form, use the quadratic equaion.

asked by Devon on April 16, 2007
10. ### Math

Solve the given quadratic equation exactly using the quadratic formula. Write the solutions in its simplest form. Using a calculator, determine all irrational solutions to the nearest thousandth. Separate the solutions with a