Solving Quadratic Equation: (a+b+c)^2

Thread starter nirajnishad
Start date Mar 7, 2011
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Quadratic Quadratic equation

In summary, a quadratic equation is a mathematical equation with a variable raised to the second power and has the form ax^2 + bx + c = 0. To solve a quadratic equation, you can use the quadratic formula or factor the equation into two linear expressions. The purpose of solving a quadratic equation is to find the solutions or roots of the equation. When (a+b+c)^2 is present in a quadratic equation, it means that the terms inside the parentheses are being squared and added together. A quadratic equation can have at most two solutions, which can be real or complex numbers. There will never be more than two distinct solutions for a quadratic equation.

Mar 7, 2011

nirajnishad

Homework Statement

if roots of the equation ax^2+bx+c=0 be the form of p/(p+1) and (p-1)/p,the the value of (a+b+c)^2 is?

Homework Equations

The Attempt at a Solution

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Mar 7, 2011

rummgamon

Think about what a "root" of a polynomial means and from there use the roots that you are given to deduce what you need.

Related to Solving Quadratic Equation: (a+b+c)^2

1. What is a quadratic equation?

A quadratic equation is a mathematical equation that contains a variable raised to the second power (x^2) and has the form ax^2 + bx + c = 0, where a, b, and c are constants.

2. How do you solve a quadratic equation?

To solve a quadratic equation, you can use the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a or factor the equation into two linear expressions and solve for x.

3. What is the purpose of solving a quadratic equation?

The purpose of solving a quadratic equation is to find the values of the variable (x) that make the equation true. These values are called the solutions or roots of the equation.

4. What does (a+b+c)^2 mean in a quadratic equation?

(a+b+c)^2 is the expanded form of a quadratic equation. It means that the terms inside the parentheses (a, b, and c) are being squared and then added together.

5. Can a quadratic equation have more than two solutions?

No, a quadratic equation can have at most two solutions. These solutions can be real or complex numbers, but there will never be more than two distinct solutions for a quadratic equation.