Solve the quadratic equation x^2+5x+6=0

There are two approaches which can be taken when solving this equation. The first is using the quadratic equation. By comparing the coefficients of the example to the general quadratic equation, a(x^2)+b(x)+c=0, we can set a=1, b=5 and c=6. We will now use the quadratic formula,x=(-b±√(b^2-4ac))/2a, and the values of a, b and c. Therefore, x==(-5±√(5^2-4x1x6))/2x1 We get that x=3 or x=2. The second approach is to use trial and error to find a pair of numbers which sum to 5 and whose product is 6, let us call these numbers d and e. Therefore, we need to find d and e such that b=d+e=5 and c=de=6. If these are satisfied, x=d or x=e. After trialling the possible pairs, 3 and 2 are a suitable pair, hence x=3 or x=2.

AM
Answered by Anna M. Maths tutor

25471 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

What is the method to solve an equation of type : ax^2+bx+c = 0 ?


How to find surface area and volume of a cone


How do you calculate the hypotenuse of a right angle triangle if the two shorter sides are 6 and 8?


The straight line L1 passes through the points with coordinates (4, 6) and (12, 2) . The straight line L2 passes through the origin and has a gradient of -3. The lines L1 and L2 intersect at point P. Find the coordinates of P.


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences