Every idea in this chapter — standard form, real‑world modelling, factorisation, and the discriminant — drawn out like a blueprint. Turn the dials, split the middle term, and watch the parabola respond.
A quadratic equation can be written as ax² + bx + c = 0, a ≠ 0 — but it doesn't always arrive looking that tidy. Simplify each card first, then click it to check your answer.
A charity trust wants a hall with carpet area 300 m², its length one metre more than twice its breadth. Drag the breadth and watch the plan — and the equation — respond.
Split the middle term bx into two parts whose product is ac and whose sum is b, then factor by grouping. Pick a textbook example or try your own integers.
The sign of b² − 4ac decides everything. Adjust a, b and c and watch the parabola, its roots, and the formula update together.