## Which are the solutions of the quadratic equation x2 7x 4?

Summary: The solution of the quadratic equation x2 = 7x + 4 is x = [7 ± √65]/2.

## Which is a solution to the equation x² 4x +4 0?

Therefore, the solution to the equation is x=−2 .

## What are the 4 ways to solve quadratic equations?

The four methods of solving a quadratic equation are factoring, using the square roots, completing the square and the quadratic formula.

## What is square method?

Completing the Square is a method used to solve a quadratic equation by changing the form of the equation so that the left side is a perfect square trinomial . To solve ax2+bx+c=0 by completing the square: … Transform the equation so that the constant term, c , is alone on the right side.

## Which method can you use to solve all quadratic equations?

The method that can be used to solve all quadratic equations is the quadratic formula.

## What are the 4 methods of factoring?

The four main types of factoring are the Greatest common factor (GCF), the Grouping method, the difference in two squares, and the sum or difference in cubes.

## What are the 5 ways to solve a quadratic equation?

There are several methods you can use to solve a quadratic equation: Factoring Completing the Square Quadratic Formula Graphing
• Factoring.
• Completing the Square.
• Graphing.

## How many solutions are there to the quadratic equation?

2 solutions
The Discriminant

As we have seen, there can be 0, 1, or 2 solutions to a quadratic equation, depending on whether the expression inside the square root sign, (b2 – 4ac), is positive, negative, or zero.

## What are the 5 ways of factoring?

The following factoring methods will be used in this lesson:
• Factoring out the GCF.
• The sum-product pattern.
• The grouping method.
• The perfect square trinomial pattern.
• The difference of squares pattern.

## What are the types of Factorisation?

Answer: The six types of factoring are: greatest common factor, difference in two squares, grouping, sum or difference in two cubes, trinomials, and general trinomials.

## What is the formula of factorization method?

The general factorization formula is expressed as N = Xa × Yb × Zc. Here, a, b, c represent the exponential powers of the factors of a factorized number.