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

10436 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

If p = (3a + 5)/(4 - a), make a the subject of the formula


Solve the simultaneous equations 6x - 27 = 15 and 4x + 3y = -3.


There are 5 cards in order from smallest to largest, _ _ _ _ 8. The range is 6, the median is 6, the mode is 2, and the mean is 5. Find the numbers missing on the 4 blank cards.


How do I solve simultaneous equations that aren't linear, for example x^2 + 2y = 9, y = x + 3


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