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Popular >

c*x-10sqrt(x)+21=0

Solution

c \cdot x - 10 x + 21 = 0

Solution

x = \frac{- 21 c + 50 + 10 - 21 c + 25}{c ^{2}} {0 < c \leq \frac{25}{21}}, x = \frac{- 21 c + 50 - 10 - 21 c + 25}{c ^{2}} {c < 0 or 0 < c \leq \frac{25}{21}}

Solution steps

c x - 10 x + 21 = 0

Remove square roots

100 x = c^{2} x^{2} + 42 c x + 441

Solve

100 x = c^{2} x^{2} + 42 c x + 441 : x = \frac{- 21 c + 50 + 10 - 21 c + 25}{c ^{2}}, x = \frac{- 21 c + 50 - 10 - 21 c + 25}{c ^{2}}

x = \frac{- 21 c + 50 + 10 - 21 c + 25}{c ^{2}}, x = \frac{- 21 c + 50 - 10 - 21 c + 25}{c ^{2}}

Verify Solutions:

x = \frac{- 21 c + 50 + 10 - 21 c + 25}{c ^{2}} {0 < c \leq \frac{25}{21}}, x = \frac{- 21 c + 50 - 10 - 21 c + 25}{c ^{2}} {c < 0 or 0 < c \leq \frac{25}{21}}

The solutions are

x = \frac{- 21 c + 50 + 10 - 21 c + 25}{c ^{2}} {0 < c \leq \frac{25}{21}}, x = \frac{- 21 c + 50 - 10 - 21 c + 25}{c ^{2}} {c < 0 or 0 < c \leq \frac{25}{21}}

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