2.4 The Discriminant

Question 5

The equation $x^2 + (n + 1)x + (a + bn) = 0$ , where $a\,$ and $b\,$ are constants, has two distinct real roots precisely when $n<−7−215n<-7-2\sqrt{15}$ or $n>−7+215n>-7+2\sqrt{15}$ .

Find the values of $a\,$ and $b$ .

[7]

2.4 The Discriminant

1 2 3 4 5 6

Question 5

The equation $x^2 + (n + 1)x + (a + bn) = 0$ , where $a\,$ and $b\,$ are constants, has two distinct real roots precisely when $n<−7−215n<-7-2\sqrt{15}$ or $n>−7+215n>-7+2\sqrt{15}$ .

Find the values of $a\,$ and $b$ .

[7]

2.4 The Discriminant

Question 5

Markscheme

2.4 The Discriminant

Question 5

Markscheme

2.4 The Discriminant

Question 5

2.4 The Discriminant Questions

2.4 The Discriminant

Question 5

2.4 The Discriminant Questions