Question

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

Diberi persamaan kuadratik 3x2 – 8x + k = 0 tidak mempunyai punca nyata. Cari julat nilai k. ​

Answer 1

`\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 > (64)/(12)\\\\\implies k > \frac{16}3\\\\\text{Interval,}~ \left( \frac{16}3, ~\infty\right)`