Question

Yasmin made mistakes when solving this quadratic equation by

using square roots. What was her first mistake? Explain the
mistake she made and determine the correct solution.
Yasmin's work:

Answer 1

Explanation:

Her first mistake was not gettin rid of the 4 at the beginning by dividing both sides by 4

Here is the solution

`4(x - 2) {}^(2 \\) = 16`

divide both sides by four

`(x - 2) {}^(2) = 4`

then square root both sides

`\sqrt{(x - 2) {}^(2) } = √(4)`

then you get the final section

`x - 2 = ( + )/( - ) 2`

the solve for X

`x - 2 = - 2 \\ x = - 2 + 2 \\ x = 0`

or

`x - 2 = 2 \\ x = 2 + 2 \\ x = 4`

There ya go