Algebra and Functions 1

$x2−8x−29≡(x+a)2+bx^2 - 8x - 29 \equiv (x + a)^2 + b$ , where $a\,$ and $b\,$ are constants.

a.

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

[3]

b.

Hence, or otherwise, show that the roots of

x^2 - 8x - 29 = 0

are $\pm d\sqrt{5}$ , where $c\,$ and $d\,$ are integers to be found.

[3]

Algebra and Functions 1

$x2−8x−29≡(x+a)2+bx^2 - 8x - 29 \equiv (x + a)^2 + b$ , where $a\,$ and $b\,$ are constants.

a.

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

[3]

b.

Hence, or otherwise, show that the roots of

x^2 - 8x - 29 = 0

are $\pm d\sqrt{5}$ , where $c\,$ and $d\,$ are integers to be found.

[3]

Algebra and Functions 1

Algebra and Functions 1 Questions