N2018 P1 Q4
N2018 P1 Q4
8 marks
Past Year National Exams
Free
- Find the exact roots of the equation \(\left| 2{{x}^{2}}+3x-2 \right|=2-x\).[4]
- On the same axes, sketch the curves with equations \(y=\left| 2{{x}^{2}}+3x-2 \right|\) and \(y=2-x\).Hence solve exactly the inequality\(\left| 2{{x}^{2}}+3x-2 \right|<2-x\).[4]
Video Solution:
Default solution
Timothy Gan
Answer:(i) \({x = -1}\) or \({x = 0}\) or \({x = -1 \pm \sqrt{3}}\) (ii) \({-1 - \sqrt{3} < x < -1}\) or \({0 < x < -1 + \sqrt{3}}\)
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