QQuestionMathematics
QuestionMathematics
Solve for x.
50x^2 = 70
What is one of the solutions to the given equation?
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Answer
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Step 1:I'll solve this step by step, following the LaTeX formatting guidelines precisely:
Step 2:: Rearrange the equation to standard quadratic form
50x^{2} = 70
Step 3:: Divide both sides by 50 to isolate x^{2}
x^{2} = \frac{70}{50}
Step 4:: Simplify the fraction
x^{2} = \frac{7}{5}
Step 5:: Take the square root of both sides
x = \pm\sqrt{\frac{7}{5}}
Step 6:: Simplify the radical
x = \pm\sqrt{1.4}
Step 7:: Calculate the decimal approximation
x \approx \pm1.183
Final Answer
The other solution is - 1.183. Note: There are two solutions due to the square root, which can be either positive or negative.
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