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Solve for $y$ . $\newline$ $\sqrt{1 + 2y} = \sqrt{y}$ $\newline$ $y =$ _____

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Solve radical equations II

Full solution

Q. Solve for

y

.

\newline

\sqrt{1 + 2y} = \sqrt{y}

\newline

y =

_____

Equation Simplification: We have the equation: $\newline$ $\sqrt{1 + 2y} = \sqrt{y}$ $\newline$ To eliminate the square roots, we square both sides of the equation: $\newline$ (\sqrt{1 + 2y})^2 = (\sqrt{y})^2\(\newline\$1 + 2y = y\)
Isolating y: Now we solve for y:\(\newline\)\(1 + 2y = y\)\(\newline\)Subtract \(y\) from both sides to isolate terms with \(y\) on one side:\(\newline\)\(2y - y = -1\)\(\newline\)\(y = -1\)

More problems from Solve radical equations II

Question

What is the domain of this function?

\newline

y = \sqrt{x}

\newline

\newline

\{x|x \geq 0\}

\newline

\{x|x \leq 0\}

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\{x | x < 0\}

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\{x|x>0\}

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p

\newline

8 = \sqrt{p}

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p

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Question

What is the domain of this function?

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Question

p

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8 = \sqrt{p}

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Question

Find the derivative of

p(x)

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Question

Alice studies the relationship between climate and heart disease around the world.

\newline

H(t)

models the probability for the occurrence of heart disease (in percents relative to the global average) at an area where the temperature is

t

degrees Celsius.

\newline

According to Alice's model, when the temperature is

-5^{\circ}C

(which is the lowest temperature included in the model), the probability is

10\%

above average. Then the probability decreases until the temperature reaches

30^{\circ}C

(which is the highest temperature included in the model), where the probability is

20\%

\newline

Which number type is more appropriate for the domain of

H

\newline

1

\newline

\newline

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Question

The altitude at which we boil an egg affects how long it takes for the egg to achieve perfect hardness.

\newline

198

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\newline

The highest place possible is the summit of Mount Everest which has an altitude of

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\newline

T(a)

models the time (in seconds) it takes to boil a perfect egg at an altitude of

a

\newline

Which number type is more appropriate for the domain of

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Question

f(x)=\sqrt{x-1}

\newline

f

is defined. What is the value of

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Posted 10 months ago

Question

h(x)=\sqrt{4 x}

\newline

h

is defined. What is the value of

h(9)

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1

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3

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6

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12

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36

Posted 8 months ago

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