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Solve for x. (sqrt(5)x)/(5)=-(57)/(5)

Solve for xx.\newline5x5=−575 \frac{\sqrt{5}x}{5}=-\frac{57}{5}

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Find derivatives of logarithmic functionsright chevron icon

Full solution

Q. Solve for xx.\newline5x5=−575 \frac{\sqrt{5}x}{5}=-\frac{57}{5}
  1. Solve for x: Solve the first equation for x.\newlineGiven the equation 5x5=−575\frac{\sqrt{5x}}{5} = \frac{-57}{5}, we can start by multiplying both sides by 55 to get rid of the denominator.\newline5x=−57\sqrt{5x} = -57
  2. Square both sides: Square both sides to eliminate the square root.\newline(5x)2=(−57)2(\sqrt{5x})^2 = (-57)^2\newline5x=32495x = 3249
  3. Divide to solve xx: Divide both sides by 55 to solve for xx.5x5=32495\frac{5x}{5} = \frac{3249}{5}x=649.8x = 649.8
  4. Check solution: Check the solution with the second equation.\newlineThe second equation given is x=3x = 3. This is a contradiction to the solution we found (x=649.8x = 649.8). Therefore, there is a math error in our solution process.

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