Solve 2x2 = 162
x = ± 9
x = 9
x = ± 40.5
Solve 3x2 - 5 = 43
x = ± 13
x = ± 4
Solve (x + 2)(x – 5) = 0
x = 2 or x = -5
x = 2 or x = 5
x = -2 or x = 5
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 by factorising
x = -5 and x = -14
x = -7 and x = 2
x = 7 and x = -2
Solve (x ‒ 2)(2x – 5) = 0
x = -2 and x = -2.5
x = 2 and x = 2.5
x = -2 and x = 2.5
Solve 5x2 – 16x + 3 = 0 by factorising.
x = \(\frac{1}{5}\) and x = 3
x = 1 and x = 3
x = \(\frac{-1}{5}\) and x = -3
Solve x2 + 10x + 6 = 0 by completing the square.
\[x = 5 \pm \sqrt{19}\]
\[x = 19 \pm \sqrt{5}\]
\[x = -5 \pm \sqrt{19}\]
If using the quadratic formula to solve 2x2 - 7x - 7 = 0, what are the values of a, b and c?
a = 2, b = -7, c = -7
a = 2, b = 7 and c = 7
a = 0, b = 7 and c = 7
Use the quadratic formula to solve 2x2 - 7x - 7 = 0, leaving the answer in surd (square root) form
\[x = \frac{7 \pm \sqrt{105}}{4}\]
\[x = \frac{7 \pm \sqrt{7}}{4}\]
\[x = \frac{-7 \pm \sqrt{105}}{4}\]