Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for $x$ . $\newline$ $\sqrt{8x} = \sqrt{1 + 9x}$ $\newline$ $x =$ _____

View step-by-step help

View step-by-step help

Solve radical equations II

Full solution

Q. Solve for

x

.

\newline

\sqrt{8x} = \sqrt{1 + 9x}

\newline

x =

_____

Square Roots Elimination: First, we need to eliminate the square roots by squaring both sides of the equation. $\newline$ $(\sqrt{8x})^2 = (\sqrt{1 + 9x})^2$ $\newline$ This simplifies to: $\newline$ $8x = 1 + 9x$
Isolating Variable $x$ : Next, we need to isolate the variable $x$ . To do this, we will move all terms containing $x$ to one side of the equation. $8x - 9x = 1$ This simplifies to: $-x = 1$
Solving for x: To solve for x, we need to divide both sides of the equation by -1＂).\(\newline\$x = \frac{1}{-1}\)\(\newline\)This simplifies to:\(\newline\)\(x = -1\)

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\}

\newline

\{x | x < 0\}

\newline

\{x|x>0\}

Posted 2 months ago

Question

p

\newline

8 = \sqrt{p}

\newline

p =

Posted 2 months ago

Question

p

\newline

\sqrt{4p} = \sqrt{10 + 3p}

\newline

p =

Posted 2 months ago

Question

What is the domain of this function?

\newline

y = \sqrt{x}

\newline

\newline

\{x|x \geq 0\}

\newline

\{x|x \leq 0\}

\newline

\{x | x < 0\}

\newline

\{x|x>0\}

Posted 2 months ago

Question

p

\newline

8 = \sqrt{p}

\newline

p =

Posted 2 months ago

Question

Find the derivative of

p(x)

\newline

p(x) = \ln(\sqrt{x})

\newline

p' (x) =

Posted 3 months ago

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

(B) Real numbers

Posted 1 month ago

Question

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

\newline

198

seconds to boil a perfect egg at the lowest place possible, the edge of the Dead Sea, which has an altitude of

-418

\newline

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

8848

meters. It takes

209

seconds to boil a perfect egg there.

\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

T

\newline

1

\newline

\newline

(B) Real numbers

Posted 1 month ago

Question

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

\newline

f

is defined. What is the value of

f(10)

Posted 4 months ago

Question

h(x)=\sqrt{4 x}

\newline

h

is defined. What is the value of

h(9)

\newline

1

\newline

3

\newline

6

\newline

12

\newline

36

Posted 2 months ago