Complete this substitution question: x^​3 - 25 = 103 - x^​3

Firstly, let's move the x^​3's onto the same side (and preferably keep them positive). Let's add x^​3 to both sides, which means the RHS will now read '2x^​3 - 25' and the LHS will read '103'. Next we want to get the numbers onto the same side, so let's add 25 to both sides (again, to keep the numbers positive). This leaves us with 2x^​3=128. Next we need to divide both sides by 2 (to get rid of the 2 in from of the x^​3 term). This means x^​3=64. After cube routing both sides, we have arrived at our answer of 'x=4'.

AJ
Answered by Aoife J. Maths tutor

2754 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What are the differences between arithmetic and geometric sequences?


Solve the simultaneous equation, 3x + y = 8 and x + 3y = 12, to find a value for x and y.


Solve the simultaneous equations: 3x+2y=11, 2x-5y=1.


There are a total of 50 apples and pears (apples + pears) in a large basket. If the total number of apples was doubled and the total number of pears was tripled, these two numbers would add up to 130. How many apples and pears are in the basket?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences