Simultaneous linear & quadratic equations

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When solving the above remember:

• Divide each term by 2 to give a coefficient of y² of 1.
• We now need to solve this quadratic equation for y: factorising seems to suggest itself
• It seems reasonable to assume there may be two points of intersection.

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NOTE: In the above example a brief inspection shows that this expression will not factorise so the formula or completing the square are the appropriate methods.