We appreciate your visit to Write a quadratic equation in standard form with integral coefficients given the roots 8 3 and 1 Begin your equation with y and use x. 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 :
Final answer:
To write the quadratic equation, we can use the sum and product of roots formulas. By setting up equations based on the given roots and solving for the coefficients, we can find the quadratic equation in standard form with integral coefficients.
Explanation:
To write a quadratic equation in standard form with integral coefficients given the roots -8.3 and 1, we can use the fact that the sum and product of the roots of a quadratic equation can be determined using the following formulas:
Sum of roots: (-b/a)
Product of roots: (c/a)
Let's assume that the equation is y = ax^2 + bx + c. From the given roots, we have the following equations:
-8.3 + 1 = (-b/a)
(-8.3)(1) = (c/a)
Simplifying these equations, we get:
-7.3 = (-b/a)
-8.3a = c
To avoid common factors, we can select a = 10 and b = 73. Substituting these values into the equation y = ax^2 + bx + c, we have:
y = 10x^2 + 73x - 83
So, the quadratic equation in standard form with integral coefficients and given roots -8.3 and 1 is y = 10x^2 + 73x - 83.
Learn more about Quadratic Equation here:
https://brainly.com/question/30098550
#SPJ11
Thanks for taking the time to read Write a quadratic equation in standard form with integral coefficients given the roots 8 3 and 1 Begin your equation with y and use x. 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
