Question

Which shows x^2 + 2x = 3 as a perfect square equation? What are the solution(s)?

Answer 1

Answer:

c

Step-by-step explanation:

Given

x² + 2x = 3

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(1)x + 1 = 3 + 1

(x + 1)² = 4 ( take the square root of both sides )

x + 1 = ± $\sqrt{4}$ = ± 2 ( subtract 1 from both sides )

x = - 1 ± 2, hence

x = - 1 - 2 = - 3 and x = - 1 + 2 = 1

Answer 2

First we can rewrite the equation to,

$x^2+2x-3=0$

Which factors to,

$(x+3)(x-1)=0$

And this leads towards two solutions,

$x_1\Longleftrightarrow x+3=0\Longrightarrow x_1=-3$

and,

$x_2\Longleftrightarrow x-1=0\Longrightarrow x_2=1$

The answer is A.

Hope this helps.

r3t40