Table of Contents

- 1 How do you know how many real solutions an equation has?
- 2 How many solutions does X² =- 16 have?
- 3 How do you determine the solution of quadratic equation?
- 4 How do you tell if a quadratic equation has no solution?
- 5 How many solutions does X X 2 )= 0 have?
- 6 How do you know if a system has no solution?
- 7 How to find the solution for 5 x 2 + 20 x + 32?
- 8 Which is the correct formula for solving a quadratic equation?

## How do you know how many real solutions an equation has?

The discriminant is the expression b2 – 4ac, which is defined for any quadratic equation ax2 + bx + c = 0. Based upon the sign of the expression, you can determine how many real number solutions the quadratic equation has.

**How many real solutions does a quadratic equation have?**

two solutions

A quadratic equation with real or complex coefficients has two solutions, called roots.

### How many solutions does X² =- 16 have?

If we have the equation x2 = 16, what are the solutions to the equation? Since the square of a positive or negative number are always positive, this equation has two solutions, namely x = -4 or x = 4.

**How do you know if an equation has infinitely many solutions?**

Well, there is a simple way to know if your solution is an infinite solution. An infinite solution has both sides equal. For example, 6x + 2y – 8 = 12x +4y – 16. If you simplify the equation using an infinite solutions formula or method, you’ll get both sides equal, hence, it is an infinite solution.

#### How do you determine the solution of quadratic equation?

Summary

- Quadratic Equation in Standard Form: ax2 + bx + c = 0.
- Quadratic Equations can be factored.
- Quadratic Formula: x = −b ± √(b2 − 4ac) 2a.
- When the Discriminant (b2−4ac) is: positive, there are 2 real solutions. zero, there is one real solution. negative, there are 2 complex solutions.

**Can a quadratic equation have 3 roots?**

Therefore, the roots of the given quadratic equation are 2 and -23. Hence, a quadratic equation cannot have more than two distinct roots.

## How do you tell if a quadratic equation has no solution?

A quadratic equation has no solution when the discriminant is negative. From an algebra standpoint, this means b2 < 4ac. Visually, this means the graph of the quadratic (a parabola) will never touch the x axis.

**What is the square root of 16 with solution?**

4

The square root of 16 is 4. It is the positive solution of the equation x2 = 16. The number 16 is a perfect square….Square Root of 16 in radical form: √16.

1. | What Is the Square Root of 16? |
---|---|

2. | Is Square Root of 16 Rational or Irrational? |

3. | How to Find the Square Root of 16? |

### How many solutions does X X 2 )= 0 have?

The square of any real number is always positive therefore there are no real number solutions to this problem.

**How do you know if two equations have no solution?**

The coefficients are the numbers alongside the variables. The constants are the numbers alone with no variables. If the coefficients are the same on both sides then the sides will not equal, therefore no solutions will occur.

#### How do you know if a system has no solution?

If a system has no solution, it is said to be inconsistent . The graphs of the lines do not intersect, so the graphs are parallel and there is no solution.

**What are 5 methods of solving 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.
- Quadratic Formula.
- Graphing.

## How to find the solution for 5 x 2 + 20 x + 32?

Example 2: Find the Solution for 5 x 2 + 20 x + 32 = 0 , where a = 5, b = 20 and c = 32, using the Quadratic Formula. The discriminant b 2 − 4 a c < 0 so, there are two complex roots. Simplify fractions and/or signs:

**Which is an example of an equation solver?**

Step-by-Step Examples. Algebra. Equation Solver. Step 1: Enter the Equation you want to solve into the editor. The equation calculator allows you to take a simple or complex equation and solve by best method possible. Step 2: Click the blue arrow to submit and see the result!

### Which is the correct formula for solving a quadratic equation?

Quadratic Formula: The quadratic formula. x = − b ± b 2 − 4 a c 2 a. is used to solve quadratic equations where a ≠ 0 (polynomials with an order of 2) a x 2 + b x + c = 0.

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