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Does x squared equal 1?

In algebra, we commonly come across the term x squared….What is x squared?

Phrase Expression
x squared minus x x2−x
x squared divided by x x2÷x=x1=x
x squared times x squared x2×x2=x4
x squared plus x squared x2+x2=2×2

What is X squared called?

Etymology. The adjective quadratic comes from the Latin word quadrātum (“square”). A term like x2 is called a square in algebra because it is the area of a square with side x.

Do all quadratic equations equal zero?

Therefore, when solving quadratic equations by factoring, we must always have the equation in the form “(quadratic expression) equals (zero)” before we make any attempt to solve the quadratic equation by factoring.

Why do quadratic equations have to equal 0?

The roots are the points where y = 0. You want to factor the equation to the form y = (x – a)(x – b). If you multiply two numbers and their product is 0, then one of the numbers must be 0. That is why we set the quadratic equal to 0.

Why do quadratic equations have to equal zero?

The simple answer to your question is that so you can find the roots. It is very common to need to know when an equation (quadratic or other) is equal to zero. That is why you set it to zero and solve.

Is there any equation with zero as one of the solutions?

The solution x = 0 means that the value 0 satisfies the equation, so there is a solution. “No solution” means that there is no value, not even 0, which would satisfy the equation. Also, be careful not to make the mistake of thinking that the equation 4 = 5 means that 4 and 5 are values for x that are solutions.

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

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  1. If you get a positive number, the quadratic will have two unique solutions.
  2. If you get 0, the quadratic will have exactly one solution, a double root.
  3. If you get a negative number, the quadratic will have no real solutions, just two imaginary ones.

Are there two real solutions?

A positive discriminant indicates that the quadratic has two distinct real number solutions. A discriminant of zero indicates that the quadratic has a repeated real number solution. A negative discriminant indicates that neither of the solutions are real numbers.

How do you know if a solution is imaginary or real?

The expression b2 − 4ac is called the discriminant, and can be used to determine whether the solutions are real, repeated, or complex: 1) If the discriminant is less than zero, the equation has two complex solution(s). 2) If the discriminant is equal to zero, the equation has one repeated real solution(s).