Find the solution(s) of 3(x^2)-6x+2=0
This is a quadratic equation and as such it has zero, one or two solutions depending on the value of the discriminant (b2-4ac). In this equation, a=3, b=-6 and c=2 so b2-4ac = 36-24=12. As this is >0 the equation has two real solutions, however this is not a square number and therefore we cannot factorise and will have to use the quadratic formula. This is (-b (+/-) (b2-4ac)1/2)/(2a). Subsituting in a, b and c gives us (6 (+/-) 121/2)/6 which means our two solutions are x=1+(1/6)121/2and x=1-(1/6)121/2
AS
Related Maths A Level answers
All answers ▸A ball is fired from a cannon at 20m/s at an angle of 56degrees to the horizontal. Calculate the horizontal distance the ball travels as well as its maximum height reached.
Differentiate f(x) = (3x + 5)(4x - 7)
How to perform integration by substitution. (e.g. Find the integral of (2x)/((4+(3(x^2)))^2)) (10 marks)
Implicitly differentiate the following equation to find dy/dx in terms of x and y: 2x^2y + 2x + 4y – cos (piy) = 17