exam Maths Puzzle Numerical Ability

solve x squared + 2x-8=-4 and x squared+2x-10=0

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Things did not go quite as planned. You invested part of $8000 in a stock that paid 12% annual interest. However, the rest of the money suffered a 5% loss. If the total annual income from both investments was $620, how much was invested at each rate? How do you identify whether x^2+3y^2-2x+36y+100=0 is a circle, hyperbola, parabola, or an ellipse.