Question

1. what is the first step you should take to begin solving the quadratic $(x + 5)^{2}=49$ (3 pts)

a. take the square root of both sides
b. divide 5 on both sides
c. subtract 5 on both sides
d. square both sides

1. which is the graph of $y=(2x - 4)(x + 1)$? (2 pts)
2. the width of a rectangle is w, and the length of the rectangle is 5 more than the width. if the area of the rectangle is 36 feet, what is the value of the length? (1 pt)

a. 4 ft
b. -9 ft
c. 9 ft
d. 5 ft

1. jalen and jessie are both asked to solve $x^{2}=81$. jessie says the solution to the function is $x = 9$. jalen says the solution to $x^{2}=81$ is $x = 9$ & $x=-9$. who is correct and why? (3 pts)

a. jessie because the square root of a number can only be positive.
b. jalen because a quadratic always has two solutions
c. jessie because $9*9$ is 81,
d. jalen because $-9*-9$ and $9*9$ equals 81.

Explanation:

Step1: Solve the quadratic equation \((x + 5)^2=49\)

For a quadratic equation of the form \((a + b)^2 = c\), the first step is to take the square root of both sides. So, for \((x + 5)^2=49\), we have \(x + 5=\pm\sqrt{49}\).

Step2: Analyze other options

• Option b: Dividing by 5 is not relevant as there is no factor of 5 multiplying the squared term.
• Option c: Subtracting 5 is not the first step. First, we need to deal with the square.
• Option d: Squaring both sides would complicate the equation further.

Answer:

A. Take the square root of both sides