89.6k views
0 votes
Solve this question:. x² = -169

1 Answer

0 votes

ANSWER


x\text{ = 13i or 13}√(-1)

Step-by-step explanation

We want to solve the equation:


x^2\text{ = -169}

To do this we will find the square root of both sides:


√(x^2)\text{ = }√(-169)

Because we can't find the square root of a negative number, we have to split the number:


\begin{gathered} x\text{ = }\sqrt{-1\cdot\text{ 169}} \\ x\text{ = }\sqrt{-1\text{ }}\cdot\text{ }√(169) \\ x\text{ = }\sqrt{-1\text{ }}\cdot\text{ 13} \\ x\text{ = 13}√(-1)\text{ or better written as 13i} \end{gathered}

Note: i is referred to as unit complex number.

User Paul Fitzgerald
by
8.4k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories