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Popular >

1/x =a+b

Solution

\frac{1}{x} = a + b

Solution

x = \frac{1}{a + b}; a \neq = - b

Solution steps

\frac{1}{x} = a + b

Multiply both sides by

x

1 = a x + b x

Switch sides

a x + b x = 1

Factor

a x + b x : x (a + b)

x (a + b) = 1

Divide both sides by

a + b; a \neq = - b

x = \frac{1}{a + b}; a \neq = - b

Popular Examples

solvefor b,x=((7a-b))/(yb)solve for

b, x = \frac{( 7 a - b )}{y b}

24a^{-2}+61a^{-1}-8=0

24 a^{- 2} + 61 a^{- 1} - 8 = 0

\frac{3}{x} + \frac{5}{2} = 4

4/(x+2)= 3/(x-5)

\frac{4}{x + 2} = \frac{3}{x - 5}

3/(x-7)+4/(x+2)=1

\frac{3}{x - 7} + \frac{4}{x + 2} = 1

Frequently Asked Questions (FAQ)

What is the answer to 1/x =a+b ?
The answer to 1/x =a+b is x= 1/(a+b);\quad a\ne-b