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Quadratic Simultaneous Equations

Quadratic Simultaneous Equations

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Question 176

The simultaneous equations

x2+y2=a x^2 + y^2 = a x2+y2=a 2x+y=b 2x + y = b 2x+y=b

have solutions for x x\,x of

x=3+294andx=3−294 x = \frac{3 + \sqrt{29}}{4} \quad \text{and} \quad x = \frac{3 - \sqrt{29}}{4} x=43+29​​andx=43−29​​

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

Give your answers to 3 significant figures.

[5]
Markscheme

Quadratic Simultaneous Equations Questions

  1. GCSE
  2. /Maths
  3. /Quadratic Simultaneous Equations

223 exam-style questions on Edexcel GCSE Maths Quadratic Simultaneous Equations. Each one has a worked solution and a mark scheme showing where the marks go.

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