Given that x(a+bx)(a-bx)=25x-4x^3, what is the value of b^(-a)? a,b>0

It's a two part question. First Part Expand the equation the left hand side to get a^(2)*x-b^(2)*x^3 thus comparing co-efficients a^2=25 and b^2=4 thus a= 5 b=2 Second Part Therefore b^(-a) is equal to 2^(-5) which is equal to (1/2)^5 which equals 1/32

CP

Related Maths GCSE answers

All answers ▸

Solve 3x²+6x-7=0 by using completing the square method. Leave your answer in surd form.


Solve the following set of simultaneous equations: (eq.1) x + 3y = 10, (eq.2) 2x + y = 5


A curve (a) has equation, y = x^2 + 3x + 1. A line (b) has equation, y = 2x + 3. Show that the line and the curve intersect at 2 distinct points and find the points of intersection. Do not use a graphical method.


Expand and simplify (x-2)(2x-3)(x+1)