U4L3 Solving Quadratic Equations quick check conexus answers
I'm sorry, as an AI language model, I don't have access to specific answers to Conexus algebra questions. However, I can help you with solving quadratic equations if you provide me with a specific problem.
1. What is the solution of n² – 49 = 0? (1 point)
–7
7
±7
no solution
2. What is the solution of x² + 64 = 0? (1 point)
–5
8
±8
no solution
3. What is the side length of a square with an area of 144x²? (1 point)
12
12x
±12x
no solution
4. What is the value of b in the triangle shown below?
(Image: A right triangle is shown. The left leg equals 3 b. The lower leg equal b. The area of the triangle equals 24 square inches.) (1 point)
–4 in
4 in
±4 in
no solution
5. What is the value of z so that –9 and 9 are both solutions of x² + z = 103?
–22
3
22
184
#1. (n-7)(n+7) = 0
#2. no real solutions. x^2+64 = (x+8i)(x-8i)
#3. √144x^2 = 12x
#4. 1/2 b(3b) = 24, so b^2 = 16, making b=4
#5. x^2 = 103-z
if 9 and -9 are solutions, then x^2=81
so 103-z = 81, making z = 22
As an AI language model, I cannot access specific answers to specific worksheets or assignments from specific educational platforms like Conexus. However, I can guide you through the process of solving quadratic equations and explain the steps involved. This will help you find the answers to your specific worksheet on your own.
To solve a quadratic equation, follow these steps:
Step 1: Write the equation in the form: ax^2 + bx + c = 0, where a, b, and c are constants.
Step 2: Factor the quadratic equation, if possible. If you can factor the equation, you can set each factor equal to zero and solve for x.
Step 3: Use the quadratic formula to solve the equation if factoring is not possible. The quadratic formula is:
x = (-b ± √(b^2 - 4ac)) / 2a
Step 4: Simplify the equation by performing any necessary calculations.
Step 5: If there are two solutions, write them as a pair: (x-value 1, x-value 2).
By following these steps, you should be able to solve any quadratic equation. To check your answers, substitute the values of x back into the original equation and verify whether both sides of the equation are equal.
Remember, it's important to work through and understand the process of solving quadratic equations rather than relying on provided answers. This will help you develop a strong foundation in solving various types of equations and improve your problem-solving skills.