1. How do you write a quadratic equation given the sum and product of the roots?
2. How do you find the sum and product of the roots of a quadratic equation?
3. What is the importance of knowing the sum and product of the roots of the quadratic equation in our daily lives?
Answers & Comments
Answer:
1.For every quadratic equation, there can be one or more than one solution. These are called the roots of the quadratic equation. For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a.
2.These are called the roots of the quadratic equation. For a quadratic equation ax2+bx+c = 0, the sum of its roots = –b/a and the product of its roots = c/a. A quadratic equation may be expressed as a product of two binomials.
3.Quadratics do have some applications, but I think the main thing that's useful is the process and ideas of root finding. Solving equations for their zeros is an important part of engineering math, and has literally hundreds of applications.
It turns out that most equations can't be easily solved by hand, unlike quadratics, but we still care about the solutions quite a bit. To get around this, we can use computers to find roots in a less precise way, called numerical methods. Finding roots in quadratics was an important step on my way to understanding these more general and useful approaches.
Step-by-step explanation:
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Answer:
1. For every quadratic equation, there are the roots of the quadratic equation. To write a quadratic equation, here is an example, ax2+bx+c = 0, to determine the sum of its roots use –b/a and to determine the product of its roots use = c/a.
2. To find the sum and product of the roots, you must use –b/a to find the sum and use c/a to find the product.
3. The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient. The product of the roots of a quadratic equation is equal to the constant term (the third term) The roots will be represented as r1 and r2.