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

4480 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

Triangle ABC has perimeter 20 cm. AB = 7 cm. BC = 4 cm. By calculation, deduce whether triangle ABC is a right-angled triangle.


Expand and simplify the following equation: 6(x-3) - 4(x-5) = 0


Solve the simultaneous equations: 3x + y = 19 and x - 2y = -3


Find the nth term of the sequence 3,7,11,15...


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