Hobbs Curry
09/24/2024 · Senior High School
\( x = \frac { - ( - 13 ) \pm \sqrt { ( - 13 ) ^ { 2 } - 4 ( 1 ) ( 40 ) } } { 2 ( 1 ) } \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Para resolver la ecuación cuadrática dada:
\[
x = \frac { - ( - 13 ) \pm \sqrt { ( - 13 ) ^ { 2 } - 4 ( 1 ) ( 40 ) } } { 2 ( 1 ) }
\]
Primero, simplificamos el numerador:
1. Calculamos \( -(-13) \), que es \( 13 \).
2. Calculamos \( (-13)^2 \), que es \( 169 \).
3. Calculamos \( 4(1)(40) \), que es \( 160 \).
Ahora sustituimos estos valores en la fórmula:
\[
x = \frac{13 \pm \sqrt{169 - 160}}{2}
\]
Calculamos \( 169 - 160 \):
\[
169 - 160 = 9
\]
Ahora sustituimos esto en la fórmula:
\[
x = \frac{13 \pm \sqrt{9}}{2}
\]
Calculamos \( \sqrt{9} \), que es \( 3 \):
\[
x = \frac{13 \pm 3}{2}
\]
Ahora tenemos dos posibles soluciones:
1. \( x = \frac{13 + 3}{2} = \frac{16}{2} = 8 \)
2. \( x = \frac{13 - 3}{2} = \frac{10}{2} = 5 \)
Por lo tanto, las soluciones de la ecuación son:
\[
x = 8 \quad \text{y} \quad x = 5
\]
Quick Answer
Las soluciones de la ecuación son \( x = 8 \) y \( x = 5 \).
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