What are the factors of x 2 16?

What are the factors of x 2 16?

Explanation:

• As such x2−16=x2−42.
• Hence x2−16.
• = x2−4x+4x−16.

How many solutions does x 2 16 have?

two solutions

How many solutions does X X 2 )= 0 have?

1 Answer. There are no real number solutions to this problem.

Which equation has no real roots?

Case 1: No Real Roots Since the quadratic formula requires taking the square root of the discriminant, a negative discriminant creates a problem because the square root of a negative number is not defined over the real line. An example of a quadratic function with no real roots is given by, f(x) = x2 − 3x + 4.

How many real number solutions does x2 16 0 have?

2 real number solutions

Which are solutions of the equation x2 16 0?

The only solution of the equation x2 + bx + 16 = 0 is x = 4. What is the value of b? You just studied 16 terms!

How many real roots does the quadratic equation x2 16?

Answer. x=0 ,there is only one real root.

What are the roots of the quadratic equation x2 3x 1 0?

If x^2 + 3x + 1 = 0 , then the roots of the equation are x = -3 ± √(m)/2 .

What are the roots of the quadratic equation x2 3x 10 0?

Roots are 4 and 3.

What is the nature of the roots of the quadratic equation x² 3x 4 0?

Hence the roots are real and distinct. Was this answer helpful?

What is the discriminant of X² 3x 4 0?

The discriminant is 25.

Which of the following equation has only one solution?

A quadratic equation only has one solution if the discriminant is zero.

Which of the following is the value of the discriminant for √ 2×2 5x+ √ 2 0?

Answer. the value of discriminant is 17.

What is the discriminant of the equation 2×2 5x 3 0?

∴ Discriminant of given quadratic equation is 1.

What are the roots of quadratic equation x2 9?

Solving Quadratics Using Square Roots One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored: (x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3.

Which equation shows the quadratic formula used correctly?

Answer: Choice a is correct answer. we have to solve it by finding the value of x. ax²+bx+c = 0 is general quadratic equation.

How do you use the square root property to solve a quadratic equation?

How To: Given a quadratic equation with an x2​ term but no x term, use the square root property to solve it.

1. Isolate the x2​ term on one side of the equal sign.
2. Take the square root of both sides of the equation, putting a ± sign before the expression on the side opposite the squared term.

What is the discriminant of 9×2 2 10x?

We do this by subtracting 10x both sides (to get it on the other side).. 9x^2 + 2 = 10x 9x^2 – 10x + 2 = 10x – 10x 9x^2 – 10x + 2 = 0 Now the discriminant is: b^2 – 4ac The quadratic equation is Ax^2 + Bx + C = 0 Here, A = 9, B = -10 and C = 2 so plug them in…

What is the discriminant of 3×2 10x =- 2?

The discriminant of is 76.

What does it mean if the discriminant is positive?

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.

What is the discriminant of 9×2 2 10x quizlet?

Which equation has the solutions ? What is the discriminant of 9×2 + 2 = 10x? If x = -3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation? The discriminant is 0.

Which is the graph of a quadratic equation that has a positive discriminant?

The graph of a quadratic equation that has a positive discriminant is the one that intersect x-axis at two distinct points. The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis.

When deriving the quadratic formula by completing the square What expression can be added to both sides of the equation to create a perfect square trinomial?

Answer. This is the equation we have been given in the question. So, the square of \frac{b}{2a}2ab should be added to both sides to get a perfect square trinomial.

How do you prove completing the square?

Steps

1. Step 1 Divide all terms by a (the coefficient of x2).
2. Step 2 Move the number term (c/a) to the right side of the equation.
3. 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.

How do you describe a perfect square trinomial?

A perfect square trinomial is a special kind of polynomial consisting of three terms. The square roots of two of the terms multiplied by two will equal either the negative or positive version of the third term.