What is the answer to 500=3t+10sqrt(t)+140 ?

The answer to 500=3t+10sqrt(t)+140 is t=(10(113-sqrt(1105)))/9

Solve for t: 500=3t+10sqrt(t)+140

The solution is t=(10(113-sqrt(1105)))/9

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500 = 3 t + 10 t + 140

t = \frac{10 ( 113 - 1105 )}{9}

Decimal Notation

t = 88.62051 \dots

Solution steps

500 = 3 t + 10 t + 140

Remove square roots

9 t^{2} - 2160 t + 129600 = 100 t

Solve

9 t^{2} - 2160 t + 129600 = 100 t : t = \frac{10 ( 113 + 1105 )}{9}, t = \frac{10 ( 113 - 1105 )}{9}

t = \frac{10 ( 113 + 1105 )}{9}, t = \frac{10 ( 113 - 1105 )}{9}

Verify Solutions:

t = \frac{10 ( 113 + 1105 )}{9}

False

, t = \frac{10 ( 113 - 1105 )}{9}

True

The solution is

t = \frac{10 ( 113 - 1105 )}{9}

(12 h - 19)^{\frac{1}{3}} + 4 = 9

9 x + 55 = x + 5

x - 1 + 4 = 0

x - 4 x - 15 = 5

(x - 4) 3 + 2 x - x^{2} = 0

What is the answer to 500=3t+10sqrt(t)+140 ?
The answer to 500=3t+10sqrt(t)+140 is t=(10(113-sqrt(1105)))/9
Solve for t: 500=3t+10sqrt(t)+140
The solution is t=(10(113-sqrt(1105)))/9