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4.07 Further quadratic equations

Lesson

We have looked at a number of ways to solve quadratic equations. These include:

  • Factorising the quadratic expression and then using the null factor law. In particular, when the quadratic expression is non-monic, we can use techniques for non-monic quadratic trinomials.
  • Completing the square and then taking the square root of both sides of the equation.
  • Using the quadratic formula.

Practice questions

Question 1

Solve $6x^2+23x-4=0$6x2+23x4=0 for $x$x by factorising or otherwise.

Enter each solution on the same line separated by a comma.

Question 2

Solve $3x^2+5x+2=0$3x2+5x+2=0 for $x$x by completing the square or otherwise.

Enter each solution on the same line separated by a comma.

Question 3

Solve $4x^2-3x-10=0$4x23x10=0 for $x$x by using the quadratic formula or otherwise.

Enter each solution on the same line separated by a comma.

Outcomes

VCMNA362 (10a)

Factorise monic and non-monic quadratic expressions and solve a wide range of quadratic equations derived from a variety of contexts.

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