Quadratic Equation

A quadratic equation is a ___________ order equation.

• first

• second

• third

• fourth

Which of the following is a quadratic equation?

• 5x² + 4x - 1 =0

• 5t - 9 = 12

• m³ + 5m - 4 = 0

• 3x² - 8x ≥ 2

In the quadratic equation  4x² + 9x – 10 = 0, which is the quadratic term?   

• -10

• 9x

• x²

• 4x²

Which of the following method can easily solve the equation 3x² – 48 = 0?

• Completing the Square

• Extracting the Square Roots

• Factoring

• Quadratic Formula

What are the roots/solutions of x²+9x+14=0? ?

• x=7,x=-2

• x=7,x=2

• x=-7,x=-2

• x=-7,x=2

What constant should be added to both sides of x² − 8𝑥 − 9 = 0 to make the left-hand side a perfect square trinomial?

• 16

• 4

• 9

• 12

Which of the following is the quadratic formula?

Which of the following is true?

  I. If D > 0, then x = D² has two real solutions or roots: x =  ±√D

  II. If D = 0, then x= D² has one real solution or root: x =0.

  III. If D < 0, then x = D² has no real solutions or roots.

• I and II only

• II and III only

• I and III only

• I, II, and III

Josh wants to get the product of the roots, he gets the values of a, b and c what process will she do next?

If the discriminant of the quadratic equation is 49, the nature of its roots are _____________

• real, equal, and rational

• unequal, and imaginary

• real, unequal, and rational

• real, unequal, and irrational