exam Maths Puzzle Numerical Ability

find the value of m for which the curve y=8mx^2+3mx+1 touches the x-axis.

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exam Other Question

A rectangular room is 14 feet narrower than its length. If 392 square feet of carpet is needed to cover the entire room, what is the length of the room? I'm just having promblems on a WKST from this lessong but example 3 show on chapter 4 what it sorta contributes to the same thing but its more:
(7x-6)
and then triangle with othe