Solve 2x2 = 162.
x = ± 9
x = 9
x = ± 40.5
Solve 3x2 - 5 = 43.
x = ± 13
x = ± 4
How do you factorise the following quadratic: x2 - 5x - 14?
(x - 7) (x + 2)
(x - 2)(x + 7)
(x - 5)(x - 14)
Solve x2 - 5x - 14 = 0.
x = -5 and x = -14
x = -7 and x = 2
x = 7 and x = -2
Factorise the quadratic 2x2 + x - 3.
(2x - 2)(4x - 4)
(2x + 3)(x - 1)
(2x + 1)(x - 3)
Solve 2x2 + x - 3 = 0.
\[x = 1\:and\:x = \frac{-3}{2}\]
\[x = \frac{3}{2}\:and\:x = -1\]
\[x = 1\:and\:x = \frac{3}{2}\]
Write x2 + 5x in completed square form.
(x + 5)2 - 25
\[(x + \frac{5}{2})^2 - \frac{25}{4}\]
\[(x - 5)^2 + \frac{25}{4}\]
Solve x2 + 10x + 6 = 0.
\[x = 5 \pm \sqrt{19}\]
\[x = 19 \pm \sqrt{5}\]
\[x = -5 \pm \sqrt{19}\]
In the quadratic formula what are the values of a, b, and c for the equation 2x2 - 7x - 7 = 0?
a = 2, b = -7, c = -7
a = 2, b = 7 and c = 7
a = 0, b = 7 and c = 7
Solve 2x2 - 7x - 7 = 0, leaving the answer in surd (square root) form.
\[x = \frac{7 \pm \sqrt{105}}{4}\]
\[x = \frac{7 \pm \sqrt{105}}{2}\]
\[x = \frac{-7 \pm \sqrt{105}}{4}\]