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

4275 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Express 56 as the product of the its prime factors.


solve this simulatneous equations (with clear algebraic working) : 5x-2y = 33 , 5x + 8y = 18


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


A linear sequence starts, a + 2b, a + 6b, a + 10b …….. …….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b


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