Question

please help will give medal
Solve by completing the square: x2 + 2x - 24 = 0



A. -6, 4
B. 6, -4
C. 6, 4
D. 2, -3

Answer 1

what you ned to complete it ?

you can this factorizing using these choises

can you make it ?

Answer 2

B will be right because you can factorizing this using 6 and -4

(x+6)(x-4) = x^2 +2x -24

Answer 3

thanks

Answer 4

yw

Answer 5

To complete the square, put it in this form:
\[x^2+2x=24\] (all x terms on 1 side, all numbers on other)
Next, take half the value of the coefficient of the x term, square it, and add that quantity to both sides.
\[x^2+2x+(2/2)^2 = 24 + (2/2)^2\]
Now you can write the left side as a perfect square:
\[(x+1)^2 = 25\]
Solve that and you get your two answers in the way the you are supposed to...

Answer 6

(remember that \(u^2 = 25\) has two solutions, \(u = \pm 5\))