GCSE Maths Practice: simultaneous-equations

Question 3 of 10

Solve simultaneous equations with quadratic solutions using the quadratic formula.

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\( \text{Solve: } 5 \times x + y = 26, y = x^2 + 1 \)

Select all correct options:

\( x = \dfrac{-5 + 5\sqrt{5}}{2}, y = \dfrac{77 - 25\sqrt{5}}{2} \) \( x = \dfrac{-5 - 5\sqrt{5}}{2}, y = \dfrac{77 + 25\sqrt{5}}{2} \) \( x = 3, y = 10 \) \( x = 4, y = 15 \)

Check each solution against the original equations.

Back-substitute x into y = x^2 + 1 to find y for each solution.