Solve: x^8-17x^4+16

You should treat the question as you would a normal quadratic and complete the square. First you should look at the factors of 16 and see which pair would result in the -17x; you can see that it would be -1 and -16. If it makes it easier, you could apply a substitution method, for example y^2 in the place of X^8 and y in place of x^4, so rewritten, the equation would look like; y^2 - 17y + 16 This can then be factorised to; (y-1)(y-16) so y=1,16 so x^4= 1, 16 so x= 1, 2

JG
Answered by Jessica G. Maths tutor

10954 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve these simultaneous equations and find the values of x and y. Equation 1: 2x + y = 7 Equation 2: 3x - y = 8


X^2 -25 Find the solution to this equation.


Edexcel 2017, Q8) A square, with sides of length x cm, is inside a circle. Each vertex of the square is on the circumference of the circle. The area of the circle is 49cm. Work out x.


a) Find the equation of the line that passes through (2,10) and (4,16) b) Find the point where the line in (a) intersects the line y=5x-2


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