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Algebraic Expressions

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Question 153

The equation

x3+ax32+b=0 x^3 + ax^{\frac{3}{2}} + b = 0 x3+ax23​+b=0

has solutions x=223\displaystyle x = 2^{\frac{2}{3}}x=232​ and x=523\displaystyle x = 5^{\frac{2}{3}}x=532​.

Find the value of a a\,a and the value of bbb.

[4]
Markscheme

Algebraic Expressions Questions

  1. A Level
  2. /Maths
  3. /Algebraic Expressions

233 exam-style questions on Edexcel A Level Maths Algebraic Expressions, covering 1.1 Index Laws, 1.2 Expanding Brackets, 1.3 Factorising, 1.4 Negative and Fractional Indices, and 1.5 Surds. Each one has a worked solution and a mark scheme showing where the marks go.

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