Table of Contents

## What is the solution to x 2 16 0?

The number under the square root is negative, so there are **no real solutions.**

## How many real solutions does x 2 16 0 have?

Step-by-step explanation: **x (-4) and x 4 are solution of the equation xxb2 16.**

## What are the roots of the quadratic equation x 2 16?

**x = (-4) and x = 4** are solution of the equation x² = 16.

## What are the solution to the quadratic equation x 2 16 0?

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.**

## What are the solutions of x 2 16?

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 many solutions does x 2 =- 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.

## What are the solutions of x 2 16 0?

The **discriminant is the expression b**2 – 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 do you know how many real solutions a function has?

x^2 – 16 0 factors to (x – 4)(x + 4) 0, so x 4 and x ** -4. This is a parabola with the y-axis as the axis of symmetry and the vertex at (0, -16). FOILing (x – 4)(x + 4) x^2 +4x -4x -16.**

## What is the solution set of the quadratic equation x 2 16 0?

The discriminant can be positive, zero, or negative, and this determines how many solutions there are to the given quadratic equation. 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.**

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

**For a quadratic equation ax2 + bx + c 0,**

- The roots are calculated using the formula, x (-b xb1 u221a (bxb2 – 4ac) )/2a.
- Discriminant is, D b2 – 4ac. If D x26gt; 0, then the equation has two real and distinct roots. If D x26lt; 0, the equation has two complex roots.
- Sum of the roots -b/a.
- Product of the roots c/a.

## What is the solution for x2 16?

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.**

## What is the value of x if x2 16?

If its x^216, then **x4, -4.**

## What are the solutions to the quadratic equation x2 16?

x^2 – 16 0 factors to (x – 4)(x + 4) 0, so x 4 and x ** -4. This is a parabola with the y-axis as the axis of symmetry and the vertex at (0, -16). FOILing (x – 4)(x + 4) x^2 +4x -4x -16.**

## How many real solutions does the equation x2 − 16 0 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 many solutions does the equation x 2 =- 16 have?

**two solutions**, namely x = -4 or x = 4.

## How many solutions does this equation have?

If solving an equation yields a statement that is true for a single value for the variable, like x 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 3, then the equation has **infinitely many solutions**

## How do you know if an equation has two solutions?

Here’s how the discriminant works. Given a quadratic equation ax^{2} + bx + c = 0, plug the coefficients into the expression b^{2} – 4ac to see what results: **If you get a positive number, the quadratic will have two unique solutions**. If you get 0, the quadratic will have exactly one solution, a double root.

## What are the solutions to the equation x 2 16 0?

The number under the square root is negative, so there are **no real solutions.**

## What is the value of x in x2 16?

The equation has no real solutions. It has **2 imaginary, or complex solutions.**

## How do you know how many solutions a function has?

If solving an equation yields a statement that is true for a single value for the variable, like x 3, then the equation has one solution. If solving an equation yields a statement that is always true, like 3 3, then the equation has **infinitely many solutions**

## How do you know if a function has real solutions?

But since there is only one max/min point, this means that the graph intersects with the x-axis at only this one point – meaning it only has one root. **When a graph only intersects the x-axis at one point, and therefore only has one root, this indicates that it has one real solution.**

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

As our equation is in the form 𝑎𝑥 squared plus 𝑏𝑥 plus 𝑐 is equal to zero, we can solve it using the quadratic formula. This states that 𝑥 is equal to negative 𝑏 plus or **minus the square root of 𝑏 squared minus four 𝑎𝑐 all divided by two 𝑎**. The positive and negative signs give us two solutions.

## How do you find the roots of a quadratic function?

The roots of a function are the x-intercepts. By definition, the y-coordinate of points lying on the x-axis is zero. Therefore, to find the roots of a quadratic function, we set **f (x) 0, and solve the equation, ax**2 + bx + c 0.

## What is the easiest way to find the roots of a quadratic equation?

The roots of any quadratic equation is given by: **x [-b +/- sqrt(-b^2 – 4ac)]/2a. Write down the quadratic in the form of ax^2 + bx + c 0. If the equation is in the form y ax^2 + bx +c, simply replace the y with 0. This is done because the roots of the equation are the values where the y axis is equal to 0.**

## What are the roots of quadratic equation x2 16?

**x = (-4) and x = 4** are solution of the equation x² = 16.