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Find the roots of $\sqrt{2x-88}=\sqrt{\frac{x}{6}}$

Step-by-step Solution

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Final Answer

The equation has no solutions.

Step-by-step Solution

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Find the roots of the equation using the Quadratic Formula

$\sqrt{2x-88}=\sqrt{\frac{x}{6}}$

Learn how to solve differential calculus problems step by step online.

$\sqrt{2x-88}=\sqrt{\frac{x}{6}}$

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Learn how to solve differential calculus problems step by step online. Find the roots of (2x-88)^1/2=(x/6)^1/2. Find the roots of the equation using the Quadratic Formula. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. Simplify the fraction \frac{\sqrt{x}}{\sqrt{6}}. Removing the variable's exponent raising both sides of the equation to the power of 2.

Final Answer

The equation has no solutions.

Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

Solve for xFind the rootsSolve by factoringSolve by completing the squareFind break even pointsFind the discriminant

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

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