The Student Room Group

completing the square

1). Express x^2+2x+7 in the form (x+p)^2+q

answer: (x+1)^2+8

2). Hence show that x^2+2x+7 is always positive.

can someone do question 2 step by step thank you
Original post by rimshs16
1). Express x^2+2x+7 in the form (x+p)^2+q

answer: (x+1)^2+8

2). Hence show that x^2+2x+7 is always positive.

can someone do question 2 step by step thank you


Squares are always greater than or equal to 0 and the +8 ensures it is positive
Reply 2
Original post by 123Master321
Squares are always greater than or equal to 0 and the +8 ensures it is positive


thank you

Quick Reply

Latest