How do we complete the square with questions involving a number stuck with the x-squared?

Let me show you an example:Complete the square for the following equation....4x2+ 8x - 91) Divide the whole equation by 4, as this is the easiest way to make things simple. It allows us to complete the square in a much simpler format.(4x2+ 8x - 9) / 4 = x2+ 2x - 9/42) With this equation, complete the square.x2+ 2x - 9/4 —> (x+1)2-9/4-1 = (x+1)2-13/43) Now simply multiply all components by 4, to get the final answer.( (x+1)2-13/4 ) x 4 = 4(x+1)2 - 13The final answer to this tricky question is 4(x+1)2- 13 :)

DS
Answered by Dhruv S. Maths tutor

3092 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Draw a graph of x = (y + 4)/4


A scalene triangle PQR, where PQ is (3x+4)m long, QR is (2-x)m long and angle PQR is 30 degrees, has an area of 2 square metres. Find x.


If a bag contains 6 green balls and 3 red balls, what the probability of picking out 2 red, with and without replacement.


Solve the simultaneous equations: 2x+y=18 and x-y=6


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:

© 2026 by IXL Learning