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When a question asks you to 'solve' a quadratic equation, this means that you are to find the roots of the quadratic ... the axis when the y coordinate is zero, then we substitute \(y = 0 ...
If a quadratic equation can be factorised, the factors can be used to find the roots of the equation. The equation factorises to give \((x + 3) (x - 2) = 0 \) so the solutions to the equation \(x ...