Solve the following quadratic equation.

x2+7x+10 = 0 factorise this into the form (x+a)(x+b)=0 by finding out what 2 numbers multiply to make 10 and add up to 7. the 2 numbers that fit this criteria are 5 and 2 so (x+5)(x+2)=0, if we expanded these brackets we would have the original quadratic equation we are solving. so because the quadratic equation has to equal 0 this means either x+5=0 or x+2=0 finally we have to solve what is x is but getting it on its own for example x+5=0, to get x on its own we minus 5 but we have to do the same on the other side of the = sign so x=-5 then we do the same for x+2=0 so x=-2 our final answer: x= -5 or x= -2

Answered by Amber G. Maths tutor

2412 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

The second term of an arithmetic sequence is 7. The sum of the first four terms of the arithmetic sequence is 12. Find the first term, a, and the common difference, d, of the sequence.


How do I work out the exact value of a number which is expressed as an indice, for example 81^-1/4


There are 10 boys and 20 girls in a class. The class has a test. The mean mark for all the class is 60 The mean mark for the girls is 54 Work out the mean mark for the boys.


Can you explain how to find straight line equations?


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