Mathematics, 17.12.2020 04:30 vannia
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
Answers: 3
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