Question

Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table.

In which step did Susu first make an error?

Step 1
Step 2
Step 3
Step 4

Answer 1

Answer:B

Explanation:

Answer 2

In the question "Susu is solving the quadratic equation 4x2 – 8x – 13 = 0 by completing the square. Her first four steps are shown in the table. In which step did Susu first make an error?" Susu made her first error in step 2, when she factored out 4 she is supposed to divide 8x by 4. Thus the correct expression for step 2 should be 4(x^2 - 2x) = 13 To complete the solution for the equation: 4(x^2 - 2x + 1) = 13 + 4(1) 4(x - 1)^2 = 13 + 4 4(x - 1)^2 = 17 (x - 1)^2 = 17/4 x - 1 = +/- sqrt(17/4) x = 1 +/- sqrt(17) / 2