Solve x^(2) + 7x + 6 = 0.

1) Factorise x2 + 7x +6 Numbers that multiply to make +6: 6 and 1, -6 and -1, 3 and 2, -3 and -2Which pair also add/subtract to make +7? 6 + 1 = 7 So factors are: (x+6)(x+1)2) Solve value of x.(x+6)(x+1)= 0. Therefore (x+6)=0 or (x+1)=0, So x= -6, x= -1 3) Check! Substitute x= -6 and x= -1 into x2 + 7x +6 = 0 For x= -6(-6)2 + 7(-6) + 6 = 0, 36 - 42 + 6 = 0, -6 + 6 = 0 (correct!) For x= -1 (-1)2 + 7(-1) +6 = 0, 1 - 7 + 6 = 0, -6 + 6 = 0 (correct!)4) Answers x= -1 x= -6

RH
Answered by Rebecca H. Maths tutor

2894 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

work out: ( 4 × 10^3 )^2 + 3.5 × 10^7 and give your answer in standard form.


Find the equation of the line passing through the point ( 2, −3) which is parallel to the line with equation y + 4x = 7


Express 0.545454... as a fraction in its simplest form.


Why does the translation y=f(x+2) translate the graph f(x) 2 units left instead of 2 to the right?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences