A-Level Mathematics (Pure) | Fun Learning Quest for Kids

You are modelling the profit (in £) from your side hustle as a quadratic function: P(x) = -2x² + 12x - 10, where x is the number of units sold (in hundreds). To find the maximum profit, you rewrite P(x) by completing the square. Which of the following is the correct completed square form?

When analysing the roots of a quadratic equation ax² + bx + c = 0, the discriminant Δ = b² - 4ac tells you the nature of the roots. Which of the following statements about the quadratic 3x² - 2x + 4 = 0 is correct?

You are coding a collision detection algorithm that uses a quadratic inequality to determine if a point lies inside a circular region. The inequality is x² - 6x + 5 ≤ 0. What is the solution set for x?