Question

Put the equation in the form ax^2+bx+c=0

7-3x^2=(x+2)^2-6

Answer 1

expand and combine

Answer 2

(x+2)^2 expands into what?

Answer 3

x^2+4

Answer 4

very close; good effort; but lets do this the long way to see what we get...

(x+2) (x+2) ; distribute it out once like this:

(x+2)(x) + (x+2)(2) ; now distribute it thru again like this:

xx + 2x + 2x + 4 ; now combine the terms that look the same

x^2 +4x +4

Answer 5

now lets put this exapnded form to good use:

7 -3x^2 = (x^2 +4x +4) -6

7 -3x^2 = x^2 +4x +4 -6 put it all to one side; i choose right.

0 = -7 +3x^2 +x^2 +4x +4 -6 ; add everything that looks the same

0 = 4x^2 + 4x -9 right?

Answer 6

yep thats right

Answer 7

yay!! ... i do mess up alot and its nice to have confirmation :)

Answer 8

no problem