Gibbs George
02/16/2023 · Primary School
\( x = \frac { - ( 10 ) \pm \sqrt { ( 10 ) ^ { 2 } - 4 ( 1 ) ( 24 ) } } { 2 ( 1 ) } \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación cuadrática dada, primero simplificamos la expresión:
\[
x = \frac{-10 \pm \sqrt{10^2 - 4 \cdot 1 \cdot 24}}{2 \cdot 1}
\]
Calculamos el discriminante:
\[
10^2 = 100
\]
\[
4 \cdot 1 \cdot 24 = 96
\]
\[
10^2 - 4 \cdot 1 \cdot 24 = 100 - 96 = 4
\]
Ahora sustituimos el discriminante en la fórmula:
\[
x = \frac{-10 \pm \sqrt{4}}{2}
\]
Calculamos la raíz cuadrada:
\[
\sqrt{4} = 2
\]
Sustituyendo esto en la fórmula:
\[
x = \frac{-10 \pm 2}{2}
\]
Ahora resolvemos las dos posibles soluciones:
1. Para \( -10 + 2 \):
\[
x = \frac{-8}{2} = -4
\]
2. Para \( -10 - 2 \):
\[
x = \frac{-12}{2} = -6
\]
Por lo tanto, las soluciones de la ecuación son:
\[
x = -4 \quad \text{y} \quad x = -6
\]
Quick Answer
Las soluciones de la ecuación son \( x = -4 \) y \( x = -6 \).
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