Algebra 5
4 marks · NormalSolve the quadratic equation:
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Show answer
x=3,\ x=4
Also accept: x=4,\ x=3
Common mistakes: x=-3,\ x=-4
Show mark scheme and worked solution
Marking points
M1 · 1 mark · Attempt to factorise as (x - a)(x - b).
M2 · 1 mark · Correct factors found: (x - 3)(x - 4).
M3 · 1 mark · Set each bracket to zero and solve for x.
A1 · 1 mark · Both solutions x = 3 and x = 4 clearly given (any order).
Worked solution
We factorise:
Set each bracket to zero: