Find the values of y which satisfy the simultaneous equat...
Find the values of y which satisfy the simultaneous equations x + y = 5, x2 - 2y2 = 1
-12, -2
-12, 12
-12, +2
2, -2
Correct answer is C
x + y = 5.......(i) x2 - 2y2 = 1.......(ii) x = 5 - y.........(iii) Subst. for x in eqn.(ii) = (5 - y)2 - 2y2 = 1 25- 10y + y2 - 2y2 = 1 25 - 1 = y2 + 10y y2 + 10y2 - 24 = 0 (y + 12)(y - 2) = 0 Then Either y + 12 = 0 or y - 2 = 0 = (-12, +2)
In XYZ, |YZ| = 32cm, < YXZ 53\(^o\) and XZY = 90\(^o\). Find, correct to the nearest centimetre, ...
The base in which the operation was performed was ...
The solution to the quadratic equation 5 + 3x - 2x2 = 0 is...
The bearing of Y from X is 085º. What is the bearing of X from Y? ...