Edwards Osborne
05/17/2023 · Senior High School
1. Calcile o birimio Giscriminarte a) \( x^{2}+3+2 x=0 \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( x^{2}+3+2x=0 \).
Solve the equation(The complex numbers system) by following steps:
- step0: Solve using the quadratic formula in the complex numbers system:
\(x^{2}+3+2x=0\)
- step1: Rewrite in standard form:
\(x^{2}+2x+3=0\)
- step2: Solve using the quadratic formula:
\(x=\frac{-2\pm \sqrt{2^{2}-4\times 3}}{2}\)
- step3: Simplify the expression:
\(x=\frac{-2\pm \sqrt{-8}}{2}\)
- step4: Simplify the expression:
\(x=\frac{-2\pm 2\sqrt{2}\times i}{2}\)
- step5: Separate into possible cases:
\(\begin{align}&x=\frac{-2+2\sqrt{2}\times i}{2}\\&x=\frac{-2-2\sqrt{2}\times i}{2}\end{align}\)
- step6: Simplify the expression:
\(\begin{align}&x=-1+\sqrt{2}\times i\\&x=\frac{-2-2\sqrt{2}\times i}{2}\end{align}\)
- step7: Simplify the expression:
\(\begin{align}&x=-1+\sqrt{2}\times i\\&x=-1-\sqrt{2}\times i\end{align}\)
- step8: Rewrite:
\(x_{1}=-1-\sqrt{2}\times i,x_{2}=-1+\sqrt{2}\times i\)
- step9: Remove the complex number(s):
\(\textrm{No real solution}\)
A equação \(x^{2}+3+2x=0\) não possui solução real.
Quick Answer
A equação \(x^{2}+3+2x=0\) não possui solução real.
Answered by UpStudy AI and reviewed by a Professional Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Submit