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Lesson: Solving Quadratics Using the Formula

In this lesson, we will learn how to solve quadratic equations using the quadratic formula.

Video

17:06

Sample Question Videos

04:46

Worksheet • 25 Questions • 1 Video

Q1:

Find the solution set of the equation ( π‘₯ βˆ’ 2 3 ) βˆ’ 6 π‘₯ = 0 2 , giving values to three decimal places.

  • A { 3 8 . 1 2 4 , 1 3 . 8 7 6 }
  • B { 3 8 . 1 2 4 , 2 7 . 7 5 1 }
  • C { βˆ’ 3 8 . 1 2 4 , 1 3 . 8 7 6 }
  • D { 7 6 . 2 4 9 , 2 7 . 7 5 1 }
  • E { βˆ’ 7 6 . 2 4 9 , 2 7 . 7 5 1 }

Q2:

Find the solution set in ℝ of the equation 4 π‘₯ βˆ’ 2 π‘₯ = 1 , giving values to one decimal place.

  • A { 0 . 8 , βˆ’ 0 . 6 }
  • B { 0 . 6 , βˆ’ 0 . 8 }
  • C { 6 . 7 , βˆ’ 4 . 7 }
  • D { 4 . 7 , βˆ’ 6 . 7 }

Q3:

Using the quadratic formula, find all the solutions to π‘₯ βˆ’ 1 0 π‘₯ + 1 = 0 4 2 .

  • A π‘₯ =  5 + 2 √ 6 , π‘₯ = βˆ’  5 + 2 √ 6 , π‘₯ =  5 βˆ’ 2 √ 6 , π‘₯ = βˆ’  5 βˆ’ 2 √ 6
  • B π‘₯ = 5 + √ 1 5 , π‘₯ = 5 βˆ’ √ 1 5
  • C π‘₯ =  5 + √ 1 5 , π‘₯ = βˆ’  5 + √ 1 5 , π‘₯ =  5 βˆ’ 2 √ 1 5 , π‘₯ = βˆ’  5 βˆ’ √ 1 5
  • D π‘₯ = 5 + 2 √ 6 , π‘₯ = 5 βˆ’ 2 √ 6
  • E π‘₯ =  5 + √ 3 4 , π‘₯ = βˆ’  5 + √ 3 4 , π‘₯ =  5 βˆ’ 2 √ 3 4 , π‘₯ = βˆ’  5 βˆ’ √ 3 4
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