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*BRAINLIEST* (EASY QA: Warm UP) Find a positive solution to each equation: x2 = 1/4

A.
x = 1

B.
x = 4

C.
x = 1/2

D.
x = 1/4

E.
No positive solution

SHOW EXPLANATION FOR BRAINLIEST

Sagot :

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

[tex] \textbf{Let's get it solved :} [/tex]

  • [tex] \sf{x² = \dfrac{1}{4}} [/tex]

  • [tex] \sf{x = \sqrt{\dfrac{1}{4}}} [/tex]

  • [tex] \sf{x= \pm{\dfrac{1}{2}}} [/tex]

  • [tex] \sf{x ={\dfrac{1}{2}} } [/tex]

[tex] \textsf{[ since we need positive solution ]} [/tex]

[tex] \textsf{Correct choice is C} [/tex]

Fieryanswererftidn

Answer:

C. x = 1/2

Explanation:

[tex]\sf \rightarrow x^2 = \dfrac{1}{4}[/tex]

[tex]\sf \rightarrow x=\sqrt{\dfrac{1}{4}},\:x=-\sqrt{\dfrac{1}{4}}[/tex]

[tex]\sf \rightarrow x=\dfrac{1}{2},\:x=-\dfrac{1}{2}[/tex]

As asked for positive solution (+)

[tex]\sf \rightarrrow \sf \rightarrow x=\dfrac{1}{2}[/tex]

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