IM2_Matrix 2025_Cycle 5 Prep_A.REI.4b

Solve the following equation for $n$:

Select Correct or Incorrect to indicate whether each value for $x$ is a solution to the following equation:

What are the solutions for the following equation?

Given the following quadratic equation, Gabriel completed the square to find the solutions to the equation:

${\begin{aligned} Step\;1&: \;\;\; x^2-14x+40=0 \\Step\;2&: \;\;\;\;\;\;\;\;\;\;\ x^2-14x=-40 \\Step\;3&: \;\;\;\;\;\;\;\;\;\;\;\ (x-7)^2=9 \\Step\;4&: \;\;\;\; \;\;\;\;\;\;\;\;\;\;\;\ x-7=\pm 9 \\Step\;5&: \;\;\;\;\;\;\; x=16, \;\;\;\; x=-2 \end{aligned} }$

Identify the step that conatains the error.

Consider the following equation:

Identify the values of $k$ so that the equation has only complex solutions.

Select the correct solution(s) for w: {2w^2-16w = -32}

What are the solutions for the given equation.

0=x^{2}-4x+5?