Factorisation
x2-10 = 90
+/- 10
2a = 0
a = 0
x2 + 2x = 5
(x + 1)2 = 6
x2 + 6x + 8 = 0
x = -2, -4
Number is either -11 or 10.
5x2 = 20
+/- 2
(x - 1)(x- 3) = 0
x = 1, 3
x2 + 2x + 4 = 0
no real solutions
x2 + x - 5 = 0
x = (-1 +/- sqrt(31))/2
When 24 is subtracted from the square of a number, the result is five times the original number.
number is -3 or 8
+/- 4
2(x - 3)2 = 0
x = 3
x2 - 4x + 1 = 0
x = 2 +/- Sqrt(3)
x2 - 4x + 5 = 0
no real solution
the sum of two number is 6, and the sum of their square is 28. Find these numbers exactly.
3 +/- sqrt (5)
(x + 2)2 = 0
-2
(3x + 1)(2x - 5) = 0
x = -1/3, 5/2
x2 - 5x + 6 = 0
x = 3 or 2
x2 - 4x -5 = 0
x = -1, 5
Two numbers differ by 7, and the sum of their squares is 29.
-2 and 5 OR -5 and 2
1/3 (2x + 3)2 = 2
= - (3 + sqrt(6))/2
ax(x - b) = 0
x = 0, b
x2 + 5x - 2 = 0
x = (-5 +/- sqrt(33))/2
x + 1/(x + 2) = 4
x = 1 +/- 2*sqrt(2)
A rectangle has length 4cm greater than its widthm and its area is 96cm2. What is the width?
8cm