And ! which of the following reveals the minimum value for the equation 2x2 + 12x − 14 = 0?
2(x + 6)2 = 26
2(x + 6)2 = 20
2(x + 3)2 = 32
2(x + 3)2 = 30

The correct option is 3.

Step-by-step explanation:

The given equation is

It can be written as

Taking out the common factor form the parenthesis.

If an expression is defined as then we add to make it perfect square.

In the above equation b=6.

Add and subtract 3^2 in the parenthesis.

            .... (1)

Add 32 on both sides.

The vertex from of a parabola is

       .... (2)

If a>0, then k is minimum value at x=h.

From (1) and (2) in is clear that a=2, h=-3 and k=-32. It means the minimum value is -32 at x=-3.

The equation reveals the minimum value for the given equation.

Therefore the correct option is 3.

the solution is x=1

step-by-step explanation:

we are given our   equation as

let's assume

left side function is

right side function is

now, we can draw graph

and then we can get intersection point

the intersection point will be solution

so, the solution is

x=1