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Popular >

solvefor x,s(x)=sqrt(-14-x)

Solution

solve for

x, s (x) = - 14 - x

Solution

x = \frac{- 1 + 1 - 56 s ^{2}}{2 s ^{2}} {- \frac{1}{2 14} < s < 0}, x = \frac{- 1 - 1 - 56 s ^{2}}{2 s ^{2}} {- \frac{1}{2 14} < s < 0}

Solution steps

s (x) = - 14 - x

Square both sides:

x^{2} s^{2} = - 14 - x

x^{2} s^{2} = - 14 - x

Solve

x^{2} s^{2} = - 14 - x : x = \frac{- 1 + 1 - 56 s ^{2}}{2 s ^{2}}, x = \frac{- 1 - 1 - 56 s ^{2}}{2 s ^{2}}

x = \frac{- 1 + 1 - 56 s ^{2}}{2 s ^{2}}, x = \frac{- 1 - 1 - 56 s ^{2}}{2 s ^{2}}

Verify Solutions:

x = \frac{- 1 + 1 - 56 s ^{2}}{2 s ^{2}} {- \frac{1}{2 14} < s < 0}, x = \frac{- 1 - 1 - 56 s ^{2}}{2 s ^{2}} {- \frac{1}{2 14} < s < 0}

The solutions are

x = \frac{- 1 + 1 - 56 s ^{2}}{2 s ^{2}} {- \frac{1}{2 14} < s < 0}, x = \frac{- 1 - 1 - 56 s ^{2}}{2 s ^{2}} {- \frac{1}{2 14} < s < 0}

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