# What is a square root of a negative number?

## What is a square root of a negative number?

The square root of minus one √(−1) is the “unit” Imaginary Number, the equivalent of 1 for Real Numbers. In mathematics the symbol for √(−1) is i for imaginary.

How do you find the negative roots of an equation?

Use what is inside the square root to find the values of a that give two values for x. (The contents of the square root, which is an expression in a, must be positive.) Then for the value of x that comes from subtracting the square root, solve the inequality that makes that negative.

How do you square negative numbers?

Yes, you can square a negative number. In fact, any number at all can be squared, even numbers like pi and 0. This is because to square a number just means to multiply it by itself. For example, (-2) squared is (-2)(-2) = 4.

### Is the square root of negative 4 a real number?

Negative numbers don’t have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers. This means that they can’t be written as the quotient of two integers.

How do you factor a negative?

Essentially, to factor a negative number, find all of its positive factors, then duplicate them and write a negative sign in front of the duplicates. For instance, the positive factors of −3 are 1 and 3.

What does it mean to find the negative solution?

5z + 7 = 3 has a negative solution. This is because we are adding 7 to the number 5z, and get a result of 3. The only way for that to happen is to have started with a negative number. So 5z must be negative, and since 5 is positive, that is only true when z is negative.

## How do you calculate the quadratic equation?

A quadratic equation is written as #ax^2+bx+c# in its standard form. And the vertex can be found by using the formula #-b/(2a)#. For example, let’s suppose our problem is to find out vertex (x,y) of the quadratic equation #x^2+2x-3# . 1) Assess your a, b and c values. In this example, a=1, b=2 and c=-3.

Why do you use square roots to solve quadratic equations?

A benefit of this square-rooting process is that it allows us to solve some quadratics that we could not have solved before when using only factoring. For instance: Solve x2 – 50 = 0. This quadratic has a squared part and a numerical part.

What are the roots of the quadratic equation 0?

The number of roots of a polynomial equation is equal to its degree. Hence, a quadratic equation has 2 roots. Let α and β be the roots of the general form of the quadratic equation :ax 2 + bx + c = 0. We can write: α = (-b-√b 2 -4ac)/2a and β = (-b+√b 2 -4ac)/2a Here a, b, and c are real and rational.

### What is the square root of a quadratic function?

The square root principle is a technique that can be used to solve quadratics, but in order to solve a quadratic using the square root principle the problem must be in the correct form. To solve a quadratic using the square root principle the quadratic must be in vertex form, a(x – h)2 + k.