Grade each of the problems out of 5 points. If their work is 100% correct then they would have a 5/5. If there are errors, determine the error, explain what they did wrong and show how to correct it, then give them the points you think they deserved based on the error they made.
1) Sydnie
Solve: x+1=x2

Give the exact value of x.

The solution:

0=x2−x−1

x = 1+(−1)2−4(1)(−1)√2(1)

x = 12±5√2

x = 1.62 and x = -0.62

2) Trevor
Solve by completing the square: z2=12z−27

Give the exact value of z.

The solution:

z2−12z−27=0

z2−12z = -27

z2−12z+122 = -27 + 122

(z−6)2=−27+6

z = 6+i21−−√ and 6−i21−−√

3) Brayden
Solve: 0= 3x2+2x+5

Give the exact value of x.

The solution:

x =−2±22−4(3)(5)√2

x = −2±−56√2

x = 0.917 and x = -1.577

Answer:onsider the population of many, many adults. A researcher hypothesized that the average adult body temperature is lower than the often-advertised 98.6 degrees F. That is, the researcher wants an answer to the question: "Is the average adult body temperature 98.6 degrees? Or is it lower?" To answer his research question, the researcher starts by assuming that the average adult body temperature was 98.6 degrees F.

Then, the researcher went out and tried to find evidence that refutes his initial assumption. In doing so, he selects a random sample of 130 adults. The average body temperature of the 130 sampled adults is 98.25 degrees.

Then, the researcher uses the data he collected to make a decision about his initial assumption. It is either likely or unlikely that the researcher would collect the evidence he did given his initial assumption that the average adult body temperature is 98.6 degrees:

Step-by-step explanation: