We appreciate your visit to Solve the equation using the quadratic formula tex 15x 2 13x 0 tex a tex x frac 13 15 0 tex b tex x 0. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
To solve the equation [tex]\(15x^2 + 13x = 0\)[/tex] using the quadratic formula, we first need to identify the coefficients. The equation is in the form [tex]\(ax^2 + bx + c = 0\)[/tex], where:
- [tex]\(a = 15\)[/tex]
- [tex]\(b = 13\)[/tex]
- [tex]\(c = 0\)[/tex]
Since the constant term [tex]\(c\)[/tex] is 0, it's important to note that we can factor out an [tex]\(x\)[/tex] from the equation:
[tex]\[ 15x^2 + 13x = x(15x + 13) = 0 \][/tex]
Setting each factor equal to zero gives us two potential solutions:
1. [tex]\(x = 0\)[/tex]
2. [tex]\(15x + 13 = 0\)[/tex]
To solve the second equation, [tex]\(15x + 13 = 0\)[/tex], we can isolate [tex]\(x\)[/tex]:
[tex]\[ 15x = -13 \][/tex]
[tex]\[ x = -\frac{13}{15} \][/tex]
So, the solutions to the equation [tex]\(15x^2 + 13x = 0\)[/tex] are:
[tex]\[ x = 0 \quad \text{and} \quad x = -\frac{13}{15} \][/tex]
Thus, the correct answer from the given choices is:
a. [tex]\(x = -\frac{13}{15}, 0\)[/tex]
- [tex]\(a = 15\)[/tex]
- [tex]\(b = 13\)[/tex]
- [tex]\(c = 0\)[/tex]
Since the constant term [tex]\(c\)[/tex] is 0, it's important to note that we can factor out an [tex]\(x\)[/tex] from the equation:
[tex]\[ 15x^2 + 13x = x(15x + 13) = 0 \][/tex]
Setting each factor equal to zero gives us two potential solutions:
1. [tex]\(x = 0\)[/tex]
2. [tex]\(15x + 13 = 0\)[/tex]
To solve the second equation, [tex]\(15x + 13 = 0\)[/tex], we can isolate [tex]\(x\)[/tex]:
[tex]\[ 15x = -13 \][/tex]
[tex]\[ x = -\frac{13}{15} \][/tex]
So, the solutions to the equation [tex]\(15x^2 + 13x = 0\)[/tex] are:
[tex]\[ x = 0 \quad \text{and} \quad x = -\frac{13}{15} \][/tex]
Thus, the correct answer from the given choices is:
a. [tex]\(x = -\frac{13}{15}, 0\)[/tex]
Thanks for taking the time to read Solve the equation using the quadratic formula tex 15x 2 13x 0 tex a tex x frac 13 15 0 tex b tex x 0. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!
- Why do Businesses Exist Why does Starbucks Exist What Service does Starbucks Provide Really what is their product.
- The pattern of numbers below is an arithmetic sequence tex 14 24 34 44 54 ldots tex Which statement describes the recursive function used to..
- Morgan felt the need to streamline Edison Electric What changes did Morgan make.
Rewritten by : Barada
