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Let’s check out your problem:
What could be the value of
x
x
x
in the following equation? Select all that apply.
\newline
x
2
=
0.25
x^2 = 0.25
x
2
=
0.25
\newline
Multi-select Choices:
\newline
(A)
−
0.25
-\sqrt{0.25}
−
0.25
\newline
(B)
−
0.5
-0.5
−
0.5
\newline
(C)
0.25
\sqrt{0.25}
0.25
\newline
(D)
0.5
0.5
0.5
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Math Problems
Calculus
Find derivatives of using multiple formulae
Full solution
Q.
What could be the value of
x
x
x
in the following equation? Select all that apply.
\newline
x
2
=
0.25
x^2 = 0.25
x
2
=
0.25
\newline
Multi-select Choices:
\newline
(A)
−
0.25
-\sqrt{0.25}
−
0.25
\newline
(B)
−
0.5
-0.5
−
0.5
\newline
(C)
0.25
\sqrt{0.25}
0.25
\newline
(D)
0.5
0.5
0.5
Understand and Simplify:
Step
1
1
1
: Understand the equation and simplify it.
\newline
We need to find
x
x
x
such that
x
2
=
0.25
x^2 = 0.25
x
2
=
0.25
.
Take Square Root:
Step
2
2
2
: Take the
square root
of both sides.
\newline
x
=
±
0.25
x = \pm\sqrt{0.25}
x
=
±
0.25
Calculate Square Root:
Step
3
3
3
: Calculate the square root of
0.25
0.25
0.25
.
\newline
0.25
=
0.5
\sqrt{0.25} = 0.5
0.25
=
0.5
\newline
So,
x
=
±
0.5
x = \pm 0.5
x
=
±
0.5
Match Solutions:
Step
4
4
4
: Match the solutions with the given choices.
\newline
x
=
0.5
x = 0.5
x
=
0.5
matches (D)
0.5
0.5
0.5
\newline
x
=
−
0.5
x = -0.5
x
=
−
0.5
matches (B)
−
0.5
-0.5
−
0.5
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