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Find the roots of $z^2-\sqrt{3}z=6$

Step-by-step Solution

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Solution

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Final Answer

The equation has no solutions.

Step-by-step Solution

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Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term

$-\sqrt{3}z=6-z^2$

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$-\sqrt{3}z=6-z^2$

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Learn how to solve equations problems step by step online. Find the roots of z^2-3^1/2z=6. Move the term with the square root to the left side of the equation, and all other terms to the right side. Remember to change the signs of each term. Multiply both sides of the equation by -1. Rearrange the equation. Grouping all terms to the left side of the equation.

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 zSolve by factoringSolve by completing the squareSolve by quadratic formula (general formula)Find break even pointsFind the discriminant

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Function Plot

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Main Topic: Equations

In mathematics, an equation is a statement of an equality containing one or more variables. Solving the equation consists of determining which values of the variables make the equality true. In this situation, variables are also known as unknowns and the values which satisfy the equality are known as solutions.

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