Probability that a randomly chosen quadratic has no real roots, using the discriminant
Probability that a randomly chosen quadratic has no real roots, using the discriminant
6 marks
A quadratic function is given by \(\mathrm{g}(x)=2x^2+kx+3\), where the integer \(k\) is chosen at random from the set \(\{1,2,3,4,5,6,7,8,9\}\), each value being equally likely. Find the probability that the graph of \(y=\mathrm{g}(x)\) does not meet the \(x\)-axis.[6]
Solution:
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Answer:\(\dfrac49\)
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