Higher June 2023 Paper 3 Q21
21 Solve \(\dfrac{1}{x + 4} + \dfrac{3}{2 - 2x} = 1\) (4)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(-2\) and \(-\dfrac{3}{2}\) | M1 | for writing a correct equation without fractions eg \((2 - 2x) + 3(x + 4) = (2 - 2x)(x + 4)\) oe |
| M1 | for simplifying to a correct equation in the form \(ax^2 + bx + c\ (= 0)\), eg \(2x^2 + 7x + 6\ (= 0)\) | |
| M1 | for method to solve a correct quadratic equation, eg \((2x + 3)(x + 2)\ (= 0)\) or correct substitution into the formula or for correctly completing the square | |
| A1 | for \(-2\) and \(-\dfrac{3}{2}\) oe |