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

3063 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

f(x) = (x+1)^2 and g(x) = 2(x-1); Show that gf(x) =2x(x+2)


A bag contains 4 red counters and some blue counters in the ratio 1:4 respectively. How many counters are there in the bag altogether?


the function f is such that f(x)=(2x-7)/4. Fnd f(-7) and the inverse of the function.


A triangle has sides of 4cm and 5cm with the hypotenuse unknown. What is the length of the unknown side?


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