Find the values of x: x^2 + 14x + 22 = 4x -2

x2 + 14x + 22 = 4x -2
1) First you should arrange the equation into the format ax2 + bc + c = 0. This gives x2 + 10x + 24 =02) Factorise into (x+n)(x+m) = 0. To work out what n and m are, you must figure out what numbers work for n+m = b (in this case b =10) and n * m = c (in this case c = 24)3) the numbers that work are 6 and 4 so put these into the equation: (x + 4)(x+6) =04) one bracket must equal zero so x+4=0 or x+6=0 therefore x = -4 or x=-6

Answered by Gemma M. Maths tutor

2551 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A t-shirt is in the sale section of a store. It has 20% off and the new sale price is £12. What was the original price of the t-shirt?


What does it mean to solve an equation for x?


Solve algebraically the simultaneous equations: x^2 + y^2 = 25 and y - 3x = 13


solve two variables quadratic equation system 2x-y=1 10x^2-y^2-x+1=0


We're here to help

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