Question

Solve:-
${x}^{2} - x + 6 < 0$
It's a question of inequality when non - factorisable quadratic equation is involved.​

Answer 1

Whenever you have a quadratic inequality where the quadratic equation does not have real solutions, the solution to the inequality will be $x= \phi$ i.e no solution.

Let's calculate the Discriminant of this equation.

$x^2-x+6 \\\\ D = b^2-4ac \\\\ D = 1- 24 \\\\ D= - 23$

We have Discriminant - 23, which means it has no real solutions, so the solution is written as $x= \phi$