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BARSIC [14]
2 years ago
10

= 2. Given the quadratic equation 3x2 – 8x + k = 0 has no real roots. Find the range of values of k.

Mathematics
1 answer:
VashaNatasha [74]2 years ago
6 0

\text{If there  are no real roots, then}\\\\~~~~~\text{Discriminant} < 0\\\\\implies b^2 -4ac < 0\\\\\implies (-8)^2 -4 \cdot 3 k < 0\\\\\implies 64-12k < 0\\\\\ \implies 12k > 64\\\\\implies k > \dfrac{64}{12}\\\\\implies k > \dfrac{16}3\\\\\text{Interval,}~ \left( \dfrac{16}3, ~\infty\right)

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