Quadratische Gleichungen lösen – einfach erklärt
MathemaTrick・2 minutes read
The quadratic equation is solved by isolating x squared on one side and numbers on the other, yielding x equals plus or minus the square root of 18, which simplifies to plus or minus 3 times the square root of 2 through factoring. Recognizing the square number within 18, breaking it down into factors, and extracting the square root are essential steps in finding the final solutions.
Insights
- The quadratic equation is solved by isolating x^2 on one side and numbers on the other, resulting in x equaling plus or minus the square root of 18, which simplifies to plus or minus 3 times the square root of 2.
- To find the solutions, one must identify the square number within 18, factorize it, and then extract the square root, leading to the final solutions of x.
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Recent questions
How do you solve quadratic equations?
By isolating x^2 and numbers, then finding square roots.
What is involved in simplifying expressions?
Combining terms with x^2 and x separately.
Can you explain manipulating equations?
Isolate x^2 on one side and numbers on the other.
What are the solutions to quadratic equations?
x equals plus or minus the square root of 18.
How do you find the square root of a number?
Recognize square numbers, break down into factors, extract square root.
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Summary
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Solving Quadratic Equations with Simplifying Expressions
- The equation being solved is a quadratic one, involving simplifying expressions and combining terms with x to the power of 2 and x separately.
- By carefully manipulating the equation, isolating x to the power of 2 on one side and numbers on the other, the solution is found to be x equals plus or minus the square root of 18, which can also be expressed as plus or minus 3 times the square root of 2.
- The process of finding the solutions involves recognizing the square number within 18, breaking it down into factors, and then extracting the square root to arrive at the final solutions.
