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
Answered by Cameron P. Maths tutor

9515 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I’ve been taught two methods for solving pairs of simultaneous equations. When should I use which?


Expand and simplify (5x – 2y)(3x – 4y)


Jules buys a washing machine. 20% VAT is added to the price of the washing machine. Jules then has to pay a total of £600 What is the price of the washing machine with no VAT added?


Write (x + 1)(x + 2)(x + 3) in the form ax³ + bx² + cx + d


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning