How to complete the square to solve quadratic equations?

Equation: x2 +4x-5=0 (This is in the form ax2+2bx+c=0)First divide 2b by 2 (4/2=2)Then put this into (x+b)2-(b)2+c=0This gives: (x+2)2-(2)2+ -5=0 (remembering +and- makes a -)Simplify to: (x+2)2-9=0Move the 9 across: (x+2)2=9Square root both sides: x+2=+-3 (remembering the plus and minus roots)Then take away 2 from both sides to give: x= -2+-3And the two values for x now are 1 and -5

GJ
Answered by George J. Maths tutor

2814 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Find the roots of x^2+5x+4=0


(2x-5)(3x+2)(x+7) - Expand the brackets.


Solving simultaneous questions, e.g. 3x + y = 11 and 2x + y = 8


The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5 Work out the area of the triangle.


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:

© 2025 by IXL Learning