en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3/(sqrt(19+t^2))+C=29

Solution

\frac{3}{19 + t ^{2}} + C = 29

Solution

t = \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29} {C = \frac{551 - 3 19}{19}}, t = - \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29} {C \leq 29}

Solution steps

\frac{3}{19 + t ^{2}} + C = 29

Multiply both sides by

19 + t^{2}

\frac{3}{19 + t ^{2}} 19 + t^{2} + C 19 + t^{2} = 29 19 + t^{2}

Simplify

3 + C 19 + t^{2} = 29 19 + t^{2}

Move

3

to the right side

C 19 + t^{2} = 29 19 + t^{2} - 3

Move

29 19 + t^{2}

to the left side

C 19 + t^{2} - 29 19 + t^{2} = - 3

Factor

C 19 + t^{2} - 29 19 + t^{2} : 19 + t^{2} (C - 29)

19 + t^{2} (C - 29) = - 3

Divide both sides by

C - 29

19 + t^{2} = - \frac{3}{C - 29}

Square both sides:

19 + t^{2} = \frac{9}{C ^{2} - 58 C + 841}

19 + t^{2} = \frac{9}{C ^{2} - 58 C + 841}

Solve

19 + t^{2} = \frac{9}{C ^{2} - 58 C + 841} : t = \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29}, t = - \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29}

t = \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29}, t = - \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29}

Verify Solutions:

t = \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29} {C = \frac{551 - 3 19}{19}}, t = - \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29} {C \leq 29}

The solutions are

t = \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29} {C = \frac{551 - 3 19}{19}}, t = - \frac{- 19 C ^{2} + 1102 C - 15970}{C - 29} {C \leq 29}

Popular Examples

4 x + x = 3

sqrt(x^2+x-11)=3

x^{2} + x - 11 = 3

4=sqrt(2e^0+c_{1)}

4 = 2 e^{0} + c_{1}

- x + 1 + 2 = 0

Frequently Asked Questions (FAQ)

What is the answer to 3/(sqrt(19+t^2))+C=29 ?
The answer to 3/(sqrt(19+t^2))+C=29 is