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5 (a) (b) Identify the nature of two stationary points for y=4x³ - 96x² +576x. ​

User Grimthorr
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1 Answer

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11 votes

Answer: (0,0) (12,0)

Explanation:

y=4x³-96x²+576x

Let y=0

Hence,

4x³-96x²+576x=0

Divide both parts of the equation by 4:

x³-24x²+144x=0

x(x²-24x+144x)=0

x=0

Thus, (0,0)

x²-24x+144=0

x²-2(x)(12)+12(12)=0

x²-2(x)(12)+12²=0

(x-12)²=0

x-12=0

x=12

Thus, (12,0)

User Jackb
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