Find two solutions to the quadratic equation x^2 + 2x - 15 = 0

Firstly, we need to find two numbers that multiply together to make -15 and sum together to make +2. We try a few numbers and find that the solution is -3 and 5, as -3 x 5 = -15 and -3 + 5 = 2.Next you input these numbers into the brackets, like this: (x-3)(x+5)=0. This is the factorised equation.Now to find the two solutions, we let x-3 and x+5 equal 0. Therefore:x - 3 = 0 , x = 3 x + 5 = 0 , x = -5

JG
Answered by James G. Maths tutor

4127 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Solve x^2 - 3x - 10 = 0 for x by a) factorising and b) the quadratic equation. Then draw a graph of the function, marking when it touches each of the axes.


Out of a sample of 80 batteries, 3 are faulty. What percentage of the batteries are faulty?


Solve these two equations simultaneously: 7x + y = 1 and 2x^2 - y = 3.


Expand: (3x-1)(x+5)(4x-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:

© 2025 by IXL Learning