Answers ALG 1 part 2 SHS onlineSolving Quadratic Equations: Completing the Square

Solving Quadratic Equations: Quadratic Formula Answers

13 verified answers

Free Preview

A quadratic equation has exactly one real number solution. Which is the value of its discriminant?

−1

Free Preview

In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?Quadratic formula: x =

x =

x =

x =

x =

Rhett is solving the quadratic equation 0= x2 – 2x – 3 using the quadratic formula. Which shows the correct substitution of the values a, b, and c into the quadratic formula?Quadratic formula: x =

StartFraction 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction

StartFraction negative 2 plus or minus StartRoot (negative 2) squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction

StartFraction 2 plus or minus StartRoot negative 2 squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction

StartFraction negative 2 plus or minus StartRoot negative 2 squared minus 4(1)(negative 3) EndRoot Over 2(1) EndFraction

A quadratic equation of the form 0=ax2+bx+c has a discriminant value of -16. How many real number solutions does the equation have?

-1

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4

What is the discriminant of the quadratic equation 0 = 2x2 + 3x – 5?

–37

–31

What is the value of the discriminant of the quadratic equation −1 = 5x2 −2x, and what does its value mean about the number of real number solutions the equation has?

The discriminant is equal to −16, which means the equation has no real number solutions.

The discriminant is equal to −16, which means the equation has two real number solutions.

The discriminant is equal to 24, which means the equation has no real number solutions.

The discriminant is equal to 24, which means the equation has two real number solutions.

What is the positive solution to the equation 0 = –x2 + 2x + 1?Quadratic formula: x =

–2 +

2 –

1 +

–1 +

Quincy uses the quadratic formula to solve for the values of x in a quadratic equation. He finds the solution, in simplest radical form, to be x = .

Zero, because the discriminant is negative.

Zero, because the discriminant is not a perfect square.

One, because the negative and the minus cancel each other out.

Two, because of the ± symbol.

What is the discriminant of the quadratic equation 0 = –x2 + 4x – 2?

–4

Mattie uses the discriminant to determine the number of zeros the quadratic equation 0 = 3x2 – 7x + 4 has. Which best describes the discriminant and the number of zeros?

The equation has one zero because the discriminant is 1.

The equation has one zero because the discriminant is a perfect square.

The equation has two zeros because the discriminant is greater than 0.

The equation has no zeros because the discriminant is not a perfect square.

What is the discriminant of the quadratic equation 0 = 2x2 + 3x – 5?

–37

–31

In simplest radical form, what are the solutions to the quadratic equation 0 = –3x2 – 4x + 5?Quadratic formula: x =

x =

A quadratic equation has a discriminant of 12. Which could be the equation?

0 = –x2 + 8x + 2

0 = 2x2 + 6x + 3

0 = –x2 + 4x + 1

0 = 4x2 + 2x + 1

What is the value of the discriminant of the quadratic equation -2x2=-8x+8, and what does its value mean about the number of real number solutions the equation has?

The discriminant is equal to 0, which means the equation has no real number solutions.

The discriminant is equal to 0, which means the equation has one real number solution.

The discriminant is equal to 128, which means the equation has no real number solutions.

The discriminant is equal to 128, which means the equation has two real number solutions.

Anderson uses the discriminant to correctly find the number of real solutions of the quadratic equation x2 + 4x + 8 = 0. Which explanation could Anderson provide?

The equation has no real number solutions because the discriminant is 0.

The equation has one real number solution because the discriminant is 0.

The equation has no real number solutions because the discriminant is less than 0.

The equation has two real number solutions because the discriminant is greater than 0.