The lines y = 3x² - x + 5/2 intersects the line y = x/2 +7 at two points. Give their coordinates. Show your working
y= 3x2 -x +5/2 = 0.5 x +76x2 -2x +5 = x+146x2 - 3x -9 = 0 = 2x2 - x -3(2x-3)(x+1) = 0 x = -1 or x = 1.5y = 6.5 or y = 7.75
Related Maths A Level answers
All answers ▸How to solve a quadratic equation?
A 2.4 m long plank of mass 20kg has 2 pins, each 0.5 meters from each respective plank end. A person of mass 40kg stands on the plank 0.1m from one of the pins. Calculate the magnitude of reactions at the pins for this structure to be in equilibrium.
Write the complex number Z=1/2+sqrt(3)/2j both as a function involving cos & sin, and as a function involving an exponential.
Find the equation of the straight line that passes through the points (1,2) and (2,4)