Question

We have learned 5 methods/ways to solve quadratic equations: by factoring, by completing the square, by quadratic formula, by using square root/by squaring, and by graphing. Solve it 2 of the 5 methods / ways.

You can pick whichever 2 methods you prefer, but it cannot be graphing.

f(x) = 3x² – 6x – 33

Method 1:

Method 2:

What do you notice about the two solutions you got?

Answer 1

We have f(x) = 3x² - 6x-33 So the equation is 3x² - 6x - 33 = 0 73612 2x-11) = 0 22- 24-11-01 Method - I Shreedhor Acharya rule 2² - 2x - 11=0 19 ax²+bx+c => x- 234+44 then x=- b ± √b²-4ac 2 = 21 2812 2a = 1 273 Method-I) completing the square x² - 2x - U=0 => 22-2X+1 -1 -1120 => 22- 2x +1 -12 20 (x-1)2 - 12 20 = (x-1)² = 12 -1 = + 2N3 => a = 1 # 2 V3 So from above two method we wee the of the equation is unique. solution