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

Answered by Rebecca H. Maths tutor

2690 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

There are 720 boys and 700 girls in a school. The probability that a boy chosen at random studies French is 2/3 The probability that a girl chosen at random studies French is 3/5. Work out the number of students in the school who study French.


The diagram shows a prism. The cross-section of the prism is an isosceles triangle. The lengths of the sides of the triangle are 13 cm, 13 cm and 10 cm. The perpendicular height of the triangle is 12 cm. The length of the prism is 8 cm. Work out the total


There are 35 people in a group. x(x+1) of them have a blue car, 5x of them have a red car, 4 have a blue and a red car and 4x-8 do not have car. Work out the probability that a person who has a blue car, has a red car as well.


What is the point of bearings?


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