step 1 We need to solve the given quadratic equation in y, 3, y, raised to power 2 plus 8, y plus 4 is

Solve. 3 y^2+8 y+4=0

Name: Problem 45, Chapter 0: Algebra and Trigonometry
Uploaded: 2020-07-08T04:02:15-08:00
Duration: 1 min 41 s
Channel: Ankit Gupta
Description: Solve. 3 y^2+8 y+4=0

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Key Concepts

Quadratic Equation

A quadratic equation is a polynomial equation of degree 2, typically written in the form ax² + bx + c = 0, where a, b, and c are constants and a is non-zero. Solving quadratic equations is a fundamental topic in algebra, as they arise in various contexts such as physics, engineering, and economics.

Quadratic Formula

The quadratic formula, x = (-b ± ?(b² - 4ac))/(2a), is a universal method used to determine the roots of any quadratic equation. It is derived through the process of completing the square and provides a reliable solution regardless of whether the equation’s roots are real or complex.

Discriminant

The discriminant in a quadratic equation is the expression b² - 4ac found within the quadratic formula. It plays a crucial role in determining the nature of the equation's solutions: if it is positive, there are two distinct real solutions; if zero, there is one repeated real solution; and if negative, the solutions are a pair of complex conjugates.

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