SPM Practice (Paper 1)

Question 14:
$\text{Show that }6x-6-2k{x}^2=x^2\text{ has no real roots if }k>\frac{1}{4}.$

Solution:

Question 15:
The quadratic equation $x^2+px+q=0$ has roots –2 and 6. Find
(a) the value of p and of q,
(b) the range of values of r for which the equation $x^2+px+q=r$ has no real roots.

Solution: