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____ [38]
3 years ago
12

3x/x^ 2 - 6x = 1 . Solve for x.

Mathematics
1 answer:
Luda [366]3 years ago
7 0

Answer:

Step-by-step explanation:

3x/x^ 2 - 6x = 1

3/x - 6x = 1

Multiply each term by x

3 - 6x² = x

6x² + x - 3 = 0

Using quadratic formula

X = [-b ± √(b² - 4ac)]/2a

a = 6, b = 1 and c = -3

X = [-1 ± √(1² - 4(6×-3)]/(2×6)

X = [-1 ± √(1 +72)]/12

X = [-1 ± √73]/12

X = [-1 ± 8.54]/12

X = (-1 + 8.54)/12 or (-1 - 8.54)/12

X = 7.54/12 or -9.54/12

X = 0.63 or - 0.8

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A class of 25 students took a spelling test.
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90.6

Step-by-step explanation:

I think you have the first line incorrect. You show below that 10 students scored 90, so the first line is that 2 students scored 100, not 90. The line with the score of 90 is missing the number of students, but we can find it out. Call that number x for now.

Two students scored 100 each                                2

x students scored 95 on each test                         x

ten students scored 90 on each test                    10

three students score  80 on each test                    3

and one student scored 70                              <u>   +   1 </u>

                                                                            x + 16

There are x + 16 students accounted for. The total number of students is 25.

x + 16 = 25

x = 9

9 students scored 95 on each test.

Now add up all the points scored by all students.

Two students scored 100 each  (2 * 90)                200

9 students scored 95 on each test (9 * 95)          855

ten students scored 90 on each test (10 * 90)     900

three students score  80 on each test (3 * 80)      240

and one student scored 70 (1 * 70)                    <u>  +  70 </u>

Sum of all points:                                                  2245

Now we find the average grade by dividing the sum of the points by the number of students.

average = sum/number = 2265/25 = 90.6

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