Question

Suggest different methods to solve the quadratic equation​

Answer 1

Answer:

a2+b2=a+b*a-b

Step-by-step explanation:

(a+b)2=a

Answer 2

Answer:

Methods of Solving Quadratic Equations

There are three main methods for solving quadratic equations:

• Factorization
• Completing the square method
• Quadratic Equation Formula

In addition to the three methods discussed here, we also have a graphical method. As you may have guessed, it involves plotting the given equation for various values of x. The intersection of the curves thus obtained with the real axis will give us the solutions. Let’s see the others in detail.

Step-by-step explanation:

Factorization

The first and simplest method of solving quadratic equations is the factorization method. Certain quadratic equations can be factorised. These factors, if done correctly will give two linear equations in x. Hence, from these equations, we get the value of x.

Completing the Square Method

Each quadratic equation has a square term. If we could get two square terms on two sides of the quality sign, we will again get a linear equation.

Quadratic Equation Formula

There are equations that can’t be reduced using the above two methods. For such equations, a more powerful method is required. A method that will work for every quadratic equation. This is the general quadratic equation formula. We define it as follows: If ax2 + bx + c = 0 is a quadratic equation, then the value of x is given by the following formula:

Quadratic Formula

$x = + - {b}^{2} - 4ac \div 2a$

Just plug in the values of a, b and c, and do the calculations. The quantity in the square root is called the discriminant or D.

I hope this helps you