Solving Quadratic Equations with the Quadratic Formula

What formula is used to solve quadratic equations as discussed in the video?

• Factorization method

• Cubic formula

• Quadratic formula

• Linear equation formula

Which coefficients are used in the quadratic formula to solve for x?

• a, b, and c

• p, q, and r

• x, y, and z

• m, n, and o

What is the result of the quadratic equation example using coefficients a=1, b=-12, and c=35?

• x = -7 or x = -5

• x = 5 or x = -7

• x = 7 or x = -5

• x = 7 or x = 5

Which method was shown as faster for solving certain quadratic equations?

• Graphical method

• Factoring method

• Completing the square

• Quadratic formula

What are the solutions for the quadratic equation with coefficients a=11, b=20, and c=7?

• x = 5/17 or x = -3/17

• x = 10/22 or x = -2/22

• x = 7/22 or x = -5/22

• x = 5/11 or x = -3/11

What does the discriminant in a quadratic equation determine?

• The type of graph

• The degree of the polynomial

• The number of solutions

• The complexity of the equation

How many real solutions does a quadratic equation have if the discriminant is zero?

• One

• Two

• Infinite

• None

What happens to the solutions of a quadratic equation when the discriminant is negative?

• Two real solutions

• One real solution

• No real solutions, but two complex solutions

• Infinite solutions

In the example with no real solutions, what was the discriminant calculated as?

• -36

• 0

• 36

• 92

What is the simplified form of the complex solution for the quadratic equation with a discriminant of -36?

• 5/17 + 3/17 i

• 3/17 + 5/17 i

• 6/17 + 3/17 i

• 5/34 + 3/34 i