Choose the best answer from the four choices given. You may use scratch
paper.
Which of the following equations has both 1 and -3 as solutions?
O x2 - 2x -3 =0
x² + 2X-3 =0
O x2 - 4x +3 =0
O x2 + 4x +3 =0

Respuesta :

Answer:

The answer is B.

Step-by-step explanation:

Instead of solving each equation, simply think about it alternatively.

Recall that quadratic equations can also be written as: [tex](x-a)(x-b)[/tex], where [tex]a[/tex] and [tex]b[/tex] are the solutions.

We know that 1 and -3 are solutions, so we can substitute them in for [tex]a[/tex] and [tex]b[/tex].

Thus, we have:

[tex](x-(1))(x-(-3))[/tex]

[tex](x-1)(x+3)[/tex]

Now, expand:

[tex]x^2+3x-x-3[/tex]

[tex]x^2+2x-3[/tex]

The answer is B.