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# GCSE Maths minimum point help Watch

1. The equation (x^2/10)-3x is drawn (not sure how to draw it on here, it was shown passing through (0,0)). Find the depth of the shaded area (this area was the 'bowl' underneath the x-axis). Essentially, it was asking for the minimum point.

This question was in a non-calculator GCSE paper. I know that this can be solved easily by differentiating, but this isn't taught at GCSE? I do FSMQ, which is why I was able to solve this, but will I get the marks? How can this be solved without differentiating?
2. (Original post by hpq)
The equation (x^2/10)-3x is drawn (not sure how to draw it on here, it was shown passing through (0,0)). Find the depth of the shaded area (this area was the 'bowl' underneath the x-axis). Essentially, it was asking for the minimum point.

This question was in a non-calculator GCSE paper. I know that this can be solved easily by differentiating, but this isn't taught at GCSE? I do FSMQ, which is why I was able to solve this, but will I get the marks? How can this be solved without differentiating?
Typically for a quadratic you find the two roots of the graph (x-intercepts) and the minimum is in the middle of those two points.
3. (Original post by hpq)
The equation (x^2/10)-3x is drawn (not sure how to draw it on here, it was shown passing through (0,0)). Find the depth of the shaded area (this area was the 'bowl' underneath the x-axis). Essentially, it was asking for the minimum point.

This question was in a non-calculator GCSE paper. I know that this can be solved easily by differentiating, but this isn't taught at GCSE? I do FSMQ, which is why I was able to solve this, but will I get the marks? How can this be solved without differentiating?
Completing the square is a standard GCSE method.

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Updated: November 14, 2016
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