What is the answer to 10sqrt(100-x)=60x-300 ?

The answer to 10sqrt(100-x)=60x-300 is x=(359+sqrt(13681))/(72)

Solve for x: 10sqrt(100-x)=60x-300

The solution is x=(359+sqrt(13681))/(72)

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10 100 - x = 60 x - 300

x = \frac{359 + 13681}{72}

Decimal Notation

x = 6.61063 \dots

Solution steps

10 100 - x = 60 x - 300

Square both sides:

10000 - 100 x = 3600 x^{2} - 36000 x + 90000

10000 - 100 x = 3600 x^{2} - 36000 x + 90000

Solve

10000 - 100 x = 3600 x^{2} - 36000 x + 90000 : x = \frac{359 + 13681}{72}, x = \frac{359 - 13681}{72}

x = \frac{359 + 13681}{72}, x = \frac{359 - 13681}{72}

Verify Solutions:

x = \frac{359 + 13681}{72}

True

, x = \frac{359 - 13681}{72}

False

The solution is

x = \frac{359 + 13681}{72}

5 x - 9 = 4

x^{2} - x - 6 = x + 3

- 9 4 g + 13 = - 45

x = 2 x^{2} - 15

x + 10 = - 5

What is the answer to 10sqrt(100-x)=60x-300 ?
The answer to 10sqrt(100-x)=60x-300 is x=(359+sqrt(13681))/(72)
Solve for x: 10sqrt(100-x)=60x-300
The solution is x=(359+sqrt(13681))/(72)