Question

2x2 - 3x - 2 = x + 4.check all of the solutions to this equation.-137(–1, 3)(3, 7)

Answer 1

Answer:

The correct option is:  (-1, 3)

Step-by-step explanation:

The given equation is:   $2x^2-3x-2=x+4$

First we will move all terms to the left side and make the right side as zero. So......

$2x^2-3x-2-x-4=0\\ \\ 2x^2-4x-6=0$

Now, we can divide both sides of this equation by 2. So, we will get......

$\frac{2x^2-4x-6}{2}=\frac{0}{2}\\ \\ x^2-2x-3=0$

Factoring out the left side..........

$x^2-2x-3 =0\\ \\ (x-3)(x+1)=0$

Now, using zero-product property, we will get.........

$x-3=0\\x=3\\ \\and\\ \\ x+1=0\\ x=-1$

So, the solutions to the equation will be:  (-1, 3)

Answer 2

Answer:

-1 and 3

Step-by-step explanation: