Table of Contents

## What is the first step in solving a2 10a 21 0 by completing the square?

Step 1 :Trying to factor by splitting the middle term The middle term is, +10a its coefficient is 10 . Step-2 : Find two factors of -21 whose sum equals the coefficient of the middle term, which is 10 .

**How do you complete the square?**

Steps

- Step 1 Divide all terms by a (the coefficient of x2).
- Step 2 Move the number term (c/a) to the right side of the equation.
- Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.

### What is root of equation?

Roots of Quadratic Equation. The values of variables satisfying the given quadratic equation are called its roots. In other words, x = α is a root of the quadratic equation f(x), if f(α) = 0. The real roots of an equation f(x) = 0 are the x-coordinates of the points where the curve y = f(x) intersect the x-axis.

**What is square roots method?**

The square root method can be used for solving quadratic equations in the form “x² = b.” This method can yield two answers, as the square root of a number can be a negative or a positive number. If an equation can be expressed in this form, it can be solved by finding the square roots of x.

#### What is a complex root quadratic?

The roots belong to the set of complex numbers, and will be called “complex roots” (or “imaginary roots”). These complex roots will be expressed in the form a ± bi. A quadratic equation is of the form ax2 + bx + c = 0 where a, b and c are real number values with a not equal to zero.

**What is the square of 2?**

The process of multiplying a number times itself is called squaring. Numbers whose square roots are whole numbers, (or more accurately positive integers) are called perfect square numbers….List of Perfect Squares.

NUMBER | SQUARE | SQUARE ROOT |
---|---|---|

2 | 4 | 1.414 |

3 | 9 | 1.732 |

4 | 16 | 2.000 |

5 | 25 | 2.236 |

## What is root of equation example?

The following are examples of some quadratic equations: 1) x2+5x+6 = 0 where a=1, b=5 and c=6. For every quadratic equation, there can be one or more than one solution. These are called the roots of the quadratic equation.