(x-3)^2/5=20

Question

(3 points)
What should be the first steo when solving the quadratic equation above?
Choices
Divide both side of the equation by 5
Multiply both side of the equation by 5
Add 3 too both sides of the equation
Subtract 5 from both sides of the equation

Which of the following is one of the solutions to the quadratic equation above?
x=6
x=0
x=13
x=7
Which of the following is the other solution to the quadratic equation above
x=-13
x=5
x=-3
x=-7

Answer 1

To solve the equation \((x-3)^2/5 = 20\), the first step should be to multiply both sides of the equation by 5 to eliminate the fraction. This gives:

\[(x-3)^2 = 100\]

Now, let's find the solutions:

1. To find the solutions to the equation \((x-3)^2 = 100\), take the square root of both sides:

\[ x - 3 = \pm 10 \]

2. Solving for \(x\):

• If \(x - 3 = 10\) then \(x = 10 + 3 = 13\).
• If \(x - 3 = -10\) then \(x = -10 + 3 = -7\).

So, one of the solutions is \(x = 13\) and the other solution is \(x = -7\).

Summary:

• The first step to solve the equation is: Multiply both sides of the equation by 5.
• One of the solutions is: x = 13.
• The other solution is: x = -7.