examday

Community mocks

Gerard Sayson TMUA Mock Paper 1 · Q3

Paper 1Algebra

The real roots of the equation

4x−3×2x+1+5=04^x-3\times2^{x+1}+5=0

are 2α2^\alpha and 2β2^\beta. What quadratic expression has roots αα+β\dfrac{\alpha}{\alpha+\beta} and βα+β\dfrac{\beta}{\alpha+\beta}?

Ax2−xx^2-x
Bx2−6x+5x^2-6x+5
C36x2−36x+536x^2-36x+5
Dx2−xlog⁡25x^2-x\log_2 5
Ex2−x+log⁡25x^2-x+\log_2 5

Read the questions freely. Sign in to check your answer, see the worked solution and save your progress.

Sign in to check your answerPractise the whole paper →