How do you complete a square

If you are given the equation y = x2+4x+1 First you determine what is in the squareMake sure your x2 term has no coefficientFind half the coefficient of the x termThat is your bracket term in this case - (x+2)2Then expand this bracket and determine what the numerical component isAdd or take away to get original number in this case 22 = 4. 4-3=1Therefore y = (x+2)2-3This can be used to find the minimum of the quadraticBeing (-2,-3)

JR

Related Maths GCSE answers

All answers ▸

Write x^2+4x-12 in the form (x+a)^2+b where a and b are constants to be determined.


You and your brother have your pocket money split in the ratio 2:7. If your brother receives £42, how much do you receive?


Solve x^2+6x+5=0


write log2(5) +log2​​​​​​​(3) in its simplest form