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

2931 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the gradient of the curve 3x^3 + 7x at the point x=3?


2x + 7 = 13 - 2x. What is the value of x?


Determine the next two terms in this sequence: 2, 7, 9, 16, 25, ... , ...


60 students were taking a Maths, Physics or Chemistry exam. 38 of the students were male. 11 of the 32 students who were taking the Maths exam were female. 8 males were taking the Physics exam. 12 students were taking the Chemistry exam. One of the fe


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