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Find the value of x when 2x^2 - x - 6 = 0

2x 2 - x - 6 = 0 This must first be factorised - I use the 'box method' when the reciprocal of x 2 is >1. This is difficult to explain via writing but it involves a little trial and error. 2x + 3 --> (...
GS
Answered by Gayathri S. • Maths tutor
9357 Views

If given two parametric equations for a curve, how would you work out an equation for the gradient?

Parametric equations will have both the x and the y coordinates expressed in terms of another paramater, usually t . Gradients of curves are expressed in the form of an equation of d y/ d x, in order to work...
MW
Answered by Mollie W. • Maths tutor
5183 Views

Show that Sec2A - Tan2A = (CosA-SinA)/(CosA+SinA)

Sec2A - Tan2A Definition of Sec and Tan = 1/Cos2A - Sin2A/Cos2A Combining Fractions = (1 - Sin2A) / (Cos2A) Apply Double Angle Formula = (1 - 2SinACosA) / (Cos 2 A - Sin 2 A) Make use of 1 = Cos 2 x + Sin 2 ...
JC
Answered by James C. • Maths tutor
38070 Views

solve the quadratic equation: x^2-4x+3=0

This equation is asking us to find the value(s) of x that when substituted in place of x in the equation x 2 -4x+3 the computed value should equal 0. There three potential methods of solving this equation, t...
TR
Answered by Taylor R. • Maths tutor
10326 Views

Solve the quadratic 3x^2+11x+6=0

In order to solve the quadratic, we need to factorise it. Consider the coefficient on the x^2, its only factors are 1 and 3 so this tells us that in our factorising we will have something that looks like (x....
NF
Answered by Natalie F. • Maths tutor
10343 Views