Solve the following inequality: 2x^2 < x+3
2x2 < x+3, 2x2- x - 3 < 0, (2x - 3) (x + 1) < 0, Positive quadratic. Roots: x = -1 and x = 3/2, Therefore, x takes values greater than -1 and less than 3/2.
OM
Answered by Olia M. • Further Mathematics tutor
4009 Views
See similar Further Mathematics A Level tutorsRelated Further Mathematics A Level answers
All answers ▸A curve has equation y=(2-x)(1+x)+3, A line passes through the point (2,3) and the curve at a point with x coordinate 2+h. Find the gradient of the line. Then use that answer to find the gradient of the curve at (2,3), stating the value of the gradient
A spring with a spring constant k is connected to the ceiling. First a weight of mass m is connected to the spring. Deduce the new equilibrium position of the spring, find its equation of motion and hence deduce its frequency f.
What is the meaning of having a 3 by 3 matrix with determinent 0. Both geometrically and algebriaclly.
Calculate: ( 2+i√(5) )( √(5)-i).