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simplification of the discriminant:\n$$x=\\frac{-k\\pm\\sqrt{k^2+96}}{2}$$\nB1\nCorrect solutions:\n$$x=\\frac{-k+\\sqrt{k^2+96}}{2}\\quad\\text{or}\\quad x=\\frac{-k-\\sqrt{k^2+96}}{2}$$\nA1","marks":3,"order":0,"markingRubric":{"totalMarks":3,"points":[{"id":"p1","marks":1,"description":"Uses the quadratic formula with $a=1$, $b=k$, $c=-24$.","code":"M","acceptable":["$$x=\\frac{-k\\pm\\sqrt{k^2-4(1)(-24)}}{2(1)}$"]},{"id":"p2","marks":1,"description":"Simplifies the discriminant to $k^2+96$.","code":"B","acceptable":["$$x=\\frac{-k\\pm\\sqrt{k^2+96}}{2}$"]},{"id":"p3","marks":1,"description":"Obtains both correct solutions in terms of $k$.","code":"A","acceptable":["$$x=\\frac{-k+\\sqrt{k^2+96}}{2}$ and $x=\\frac{-k-\\sqrt{k^2+96}}{2}$"]}],"finalAnswers":["$$x=\\frac{-k+\\sqrt{k^2+96}}{2}$ or 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Quadratics","topicId":"3b0a8ba6-53ed-323f-463f-811d42174020","topicSidebar":"$L3a","topicSlug":"grade-5-5-8-solving-quadratics","topicTitle":"Solving Quadratics"}]}],"$L3b","$L3c"]}]

Solving Quadratics

Question 2

Solving Quadratics Questions

Solving Quadratics

Question 2

Solving Quadratics Questions