Express $x^{2} + 12 x + 30$ in the form $(x + p)^{2} + q$ . What is the minimum value of the expression?

Practise more Quadratic functions and inequalities.

Free questions with an explanation for every one, and full timed Singapore GCE O-Level mock tests.

All Quadratic functions and inequalities questions Take a mock test

More Quadratic functions and inequalities questions

Find the set of values of $k$ for which the equation $x^{2} + k x + 4 = 0$ has real roots.
Find the set of values of $k$ for which the equation $x^{2} + k x + 9 = 0$ has real roots.
Find the set of values of $k$ for which the equation $x^{2} + k x + 16 = 0$ has real roots.
Find the set of values of $k$ for which the equation $x^{2} + k x + 25 = 0$ has real roots.
Find the set of values of $k$ for which the equation $x^{2} + k x + 36 = 0$ has real roots.
Find the set of values of $k$ for which the equation $x^{2} + k x + 1 = 0$ has real roots.