Recall Yung's last step before requiring assistance: 6± √36-40 x = 2 Yung knows that 36-40 is a negative number and isn't sure what to do next. Show how Yung can write his solution using complex numbers. Be sure to show ALL steps that lead to your final solution set!

Recall Yung's last step before requiring assistance: 6± √36-40 x = 2 Yung knows that 36-40 is a negative number and isn't sure what to do next. Show how Yung can write his solution using complex numbers. Be sure to show ALL steps that lead to your final solution set!

Algebra: Structure And Method, Book 1

(REV)00th Edition

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Chapter12: Quadratic Functions

Section12.5: Methods Of Solving

Problem 9MRE

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Question

Yung knows that 36-40 is a negative number and isn't sure what to do next. Show how Yung can write his solution using complex numbers?

Recall Yung's last step before requiring assistance:
6± √36-40
X
2
Yung knows that 36-40 is a negative number and isn't sure what to do next. Show how
Yung can write his solution using complex numbers.
Be sure to show ALL steps that lead to your final solution set!

Yung chose instead to use the quadratic formula to solve the equation. Here is his work so
far:
x =
x =
x =
- b ± √b² - 4ac
2a
- (-6) ±
(-6)²-4 (1) (10)
2 (1)
6± √36-40
2

Combination of a real number and an imaginary number. They are numbers of the form a + b , where a and b are real numbers and i is an imaginary unit. Complex numbers are an extended idea of one-dimensional number line to two-dimensional complex plane.

Expert Solution