Find the roots for the quadratic equation x^2 +2x-3 = 0

I would show the student two methods of solving this answer.The first method by:Finding two numbers that multiply to make -3 and simultaneously add to make +2.The two numbers that satisfy this is +3 and -1. We then put these into brackets accompanied by the x term, like so: (x+3)(x-1) = 0Then, to find the solutions: x+3=0 therefore x=-3And solution number 2: x-1=0 therefore x=+1Alternatively, we could use the quadratic formula to work the values of x like so:x=-b+/-√ b^2-4ac 2aFamiliarize ourselves that our equation is in this format: ax^2 +bx+c Pop in the values of our formula where a=1 b=2 and c=-3And we get two answers, x=-3 and x=+1

AN
Answered by Adibah N. Maths tutor

10149 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Calculate the largest share when £400 is shared in the ratio 1 : 2 : 5.


Find the x co-ordinates where the curve y=x+1 and y= x^2 +1 cross?


Prove that an angle subtended by an arc is double at the centre then at the perimeter.


The point P, (-1,4) lies on a circle C that is centered about the origin. Find the equation of the tangent to the circle at point P.


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