## What are the solutions of this quadratic equation?

How To Solve Them? The “solutions” to the Quadratic Equation are where it is equal to zero. There are usually 2 solutions (as shown in this graph). Just plug in the values of a, b and c, and do the calculations.

What are the three possible number of solutions for a quadratic equation?

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. This expression has a special name: the discriminant.

What are some real life examples of quadratic equations?

Balls, Arrows, Missiles and Stones. When you throw a ball (or shoot an arrow, fire a missile or throw a stone) it goes up into the air, slowing as it travels, then comes down again faster and faster and a Quadratic Equation tells you its position at all times!

### How are quadratic equations used in real life?

Quadratic equations are actually used in everyday life, as when calculating areas, determining a product’s profit or formulating the speed of an object. Quadratic equations refer to equations with at least one squared variable, with the most standard form being ax² + bx + c = 0.

What are examples of quadratic equations?

Examples of quadratic equations in other forms include:

• x(x – 2) = 4 [upon multiplying and moving the 4, becomes x² – 2x – 4 = 0]
• x(2x + 3) = 12 [upon multiplying and moving the 12, becomes 2x² – 3x – 12 = 0]
• 3x(x + 8) = -2 [upon multiplying and moving the -2, becomes 3x² + 24x + 2 = 0]

How many solutions can quadratic equations have?

#### How do you find the solution of a quadratic equation?

While factoring may not always be successful, the Quadratic Formula can always find the solution. The Quadratic Formula uses the “a”, “b”, and “c” from “ax 2 + bx + c”, where “a”, “b”, and “c” are just numbers; they are the “numerical coefficients” of the quadratic equation they’ve given you to solve.

Which method to solve a quadratic equation?

Method 1 of 3: Factoring the Equation. Combine all of the like terms and move them to one side of the equation.

• Method 2 of 3: Using the Quadratic Formula. Combine all of the like terms and move them to one side of the equation. Write down the quadratic formula.
• Method 3 of 3: Completing the Square. Move all of the terms to one side of the equation.
• How many solutions exist for a quadratic equation?

If you work on complex numbers then you can say that every quadratic equation has two solutions. To start a quadratic equation is an equation of the form ax² + bx + c = 0, where a, b and c are real numbers and x is a variable.

## What does it mean to “solve a quadratic equation”?

Solving a quadratic equation means finding those values of the variable that make the equation true. For example, solving 6x 2 +10x+3=7 means finding the values of x that make this equation true. If x=-2, 6(-2) 2 +10(-2)+3=7.