Using the "complete the square" method, solve the following x^2 +4x - 21 =0

x2+4x-21= 0,  This can be factorised into brackets as shown: (x+2)- 4 - 21 = 0 SImplified, so all x's are on one side of the equation: (x+2)= 25, Removing square root, DONT FORGET "±" : (x+2) = ± 5,  Solve for two solutions: x = 3, x = -7

CS
Answered by Charlotte S. Maths tutor

6577 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

What is differentiation used for in the real world?


When finding the turning points of a curve, how can I tell if it is a maximum, minimum or a point of inflection?


Use logarithms to solve the equation 2^(5x) = 3^(2x+1) , giving the answer correct to 3 significant figures


The curve C has an equation y = sin(2x)cos(x)^2. Find dy/dx. Find normal to curve at x = pi/3 rad, giving answer in exact form.


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