What is the answer to 2/(sqrt(1+t^2))+3=4.2 ?

The answer to 2/(sqrt(1+t^2))+3=4.2 is t= 4/3 ,t=-4/3

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2/(sqrt(1+t^2))+3=4.2

Solution

\frac{2}{1 + t ^{2}} + 3 = 4.2

Solution

t = \frac{4}{3}, t = - \frac{4}{3}

Decimal Notation

t = 1.33333 \dots, t = - 1.33333 \dots

Solution steps

\frac{2}{1 + t ^{2}} + 3 = 4.2

Multiply both sides by

1 + t^{2}

\frac{2}{1 + t ^{2}} 1 + t^{2} + 3 1 + t^{2} = 4.2 1 + t^{2}

Simplify

2 + 3 1 + t^{2} = 4.2 1 + t^{2}

Multiply both sides by

10

20 + 30 1 + t^{2} = 42 1 + t^{2}

Move

20

to the right side

30 1 + t^{2} = 42 1 + t^{2} - 20

Move

42 1 + t^{2}

to the left side

- 12 1 + t^{2} = - 20

Divide both sides by

- 12

1 + t^{2} = \frac{5}{3}

Square both sides:

1 + t^{2} = \frac{25}{9}

1 + t^{2} = \frac{25}{9}

Solve

1 + t^{2} = \frac{25}{9} : t = \frac{4}{3}, t = - \frac{4}{3}

t = \frac{4}{3}, t = - \frac{4}{3}

Verify Solutions:

t = \frac{4}{3}

True

, t = - \frac{4}{3}

True

The solutions are

t = \frac{4}{3}, t = - \frac{4}{3}

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Frequently Asked Questions (FAQ)

What is the answer to 2/(sqrt(1+t^2))+3=4.2 ?
The answer to 2/(sqrt(1+t^2))+3=4.2 is t= 4/3 ,t=-4/3
Solve for t: 2/(sqrt(1+t^2))+3=4.2
The solution is t= 4/3 ,t=-4/3

2/(sqrt(1+t^2))+3=4.2

Solution

Solution

Popular Examples

Frequently Asked Questions (FAQ)

What is the answer to 2/(sqrt(1+t^2))+3=4.2 ?

Solve for t: 2/(sqrt(1+t^2))+3=4.2