What is the solution to x 2 16 0?

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?

Step-by-step explanation:

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 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 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
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 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 ax2 + bx + c = 0, plug the coefficients into the expression b2 – 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, ax2 + 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.

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