102k views
3 votes
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

User Damson
by
7.4k points

2 Answers

2 votes

Answer:2 = x

The missing step is:

Take the square root of both sides of the equation to get the value of x, which is:

x = 2 ± √(19/6)

Now we have our solutions, x = 2 + √(19/6) and x = 2 - √(19/6) which are the solutions of the quadratic equation.

Explanation:

User Martin Rauscher
by
7.5k points
7 votes

Answer: 1) Add 4 2) Subtract 24 from 5 3) 2

Correct on Edge 2023 :)

User Scott Warren
by
7.7k points