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3 years ago

In simplest radical form, what are the solutions to the quadratic equation 6 = x^2 - 10x

Mathematics

1 answer:

Andre45 [30]3 years ago

4 0

Answer:

The solution set is {5 + √31, 5 - √31}.

Step-by-step explanation:

6 = x^2 - 10x

x^2 - 10x = 6

Completing the square:-

(x - 5)^2 - 25 = 6

Adding 25 to both sides:-

(x - 5)^2 = 31

Taking square roots:-

x - 5 = +/- √31

Solutions are x = 5 + √31, 5 - √31

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3 years ago

Jennifer and Kamlee are walking to school. After 20 minutes, Jennifer has walked 4/5 miles. After 25 minutes, Kamlee has walked

Nimfa-mama [501]

Answer:

Jennifer's speed is 2.4 miles/hour

Kamlee's speed is 2 miles/hour

Step-by-step explanation:

To find their speed,

Speed can be determined from the formula below,

$Speed = \frac{Distance}{Time}$

Also, to determine the speed in miles per hour (miles/hour), we will convert the time spent by each of them to hour (NOTE: 60 minutes = 1 hour)

For Jennifer,

Distance = 4/5 miles

Time = 20 mins (Convert to hour)

∴Time = (20/60) hour = 1/3 hour

Hence,

$Speed = \frac{Distance}{Time}$

$Speed = \frac{4/5 miles}{1/3hour}$

$Speed = \frac{4}{5} \times \frac{3}{1}$

$Speed = \frac{12}{5}$

$Speed = 2.4 miles/hour$

Hence, Jennifer's speed is 2.4 miles/hour

For Kamlee,

Distance = 5/6 miles

Time = 25 minutes (Convert to hour)

Time = (25/60) hour = 5/12 hour

Hence,

$Speed = \frac{Distance}{Time}$

$Speed = \frac{5/6miles}{5/12 hour}$

$Speed = \frac{5}{6} \times \frac{12}{5}$

$Speed = 2 miles/hour$

Hence, Kamlee's speed is 2 miles/hour

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3 years ago