Question

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

Answer 1

The answer is B.

Explanation:

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

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

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

Thus, we have:

`(x-(1))(x-(-3))`

`(x-1)(x+3)`

Now, expand:

`x^2+3x-x-3`

`x^2+2x-3`

The answer is B.