Determine the missing step for solving the quadratic equation by completing the square.

0 = –6x2 + 24x – 5

5 = –6x2 + 24x

5 = –6(x2 – 4x)

inside the parentheses and .

–19 = –6(x – 2)2

startfraction 19 over 6 endfraction = (x – 2)2

plus or minus startroot startfraction 19 over 6 endfraction endroot = x – 2

the two solutions are plus or minus startroot startfraction 19 over 6 endfraction endroot.

Answer with Step-by-step explanation:

We are given that an equation

We have to find the missing step for solving the quadratic equation by completing square.

Missing step is "Add and subtract 4 in the parenthesis." The resulted equation is .

Step-by-step explanation:

The given equation is

Step 1: Add 5 on both sides.

Step 2: Taking out 6 as common factor.

If an expression is defined as , then add in the expression to make it perfect square.

Here b=-4,

Step 3: Add and subtract 4 in the parenthesis.

Step 4: Subtract 24 from both sides.

Step 5: Divide both sides by -6.

Step 6: Taking square root on both sides.

Step 7: Add 2 on both sides.

Therefore, the two solutions are .