Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

and Robert are each trying to solve the equation
x^(2)-sqrt(10 x+26)=0 tions to
x^(2)=-1 are
i and
-i, but they are not sure how to use this

and Robert are each trying to solve the equation $\newline$ $x^{2}-\sqrt{10x+26}=0$ tions to $\newline$ $x^{2}=-1$ are $\newline$ $i$ and $\newline$ $-i$ , but they are not sure how to use this

View step-by-step help

View step-by-step help

Transformations of quadratic functions

Full solution

Q. and Robert are each trying to solve the equation

\newline

x^{2}-\sqrt{10x+26}=0

tions to

\newline

x^{2}=-1

are

\newline

i

and

\newline

-i

, but they are not sure how to use this

Identify and Isolate Square Root Term: Identify the terms and isolate the square root term. $x^2 = \sqrt{10x + 26}$
Eliminate Square Root by Squaring: Square both sides to eliminate the square root. $\newline$ $(x^2)^2 = (\sqrt{10x + 26})^2$ $\newline$ $x^4 = 10x + 26$
Rearrange Equation to Zero: Rearrange the equation to set it to zero. $x^4 - 10x - 26 = 0$
Factorize or Solve Quartic Equation: Attempt to factorize or solve the quartic equation. This step involves complex algebraic techniques or numerical methods which might be beyond basic algebraic skills; hence, using a calculator or software might be necessary.

More problems from Transformations of quadratic functions

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`m` = ____ or `m` = _____

Posted 1 month ago

Question

g(x)

g(x)

is the translation

5

f(x)=x^2

\newline

Write your answer in the form

a(x–h)^2+k

a

h

k

\newline

g(x)=

Posted 1 month ago

Question

What is the range of this quadratic function?

\newline

y = x^2 - 4x + 4

\newline

\newline

\left\{y \mid y \geq 2\right\}

\newline

\left\{y \mid y \leq 0\right\}

\newline

\left\{y \mid y \geq 0\right\}

\newline

\text{all real numbers}

Posted 1 month ago

Question

Write the equation of the parabola that passes through the points

(1,0)

(2,0)

(3,\text{–}16)

. Write your answer in the form

y = a(x – p)(x – q)

a

p

q

are integers, decimals, or simplified fractions.

\newline

Posted 1 month ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

f^2 + 8f + \_\_\_\_\_

Posted 1 month ago

Question

h

\newline

h^2 + 39h = 0

\newline

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

\newline

Posted 1 month ago

Question

Write a quadratic function with zeros

-9

-7

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

f(x) = \_\_\_\_\_

Posted 2 months ago

Question

Find the equation of the axis of symmetry for the parabola

y = x^2

\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

\newline

\underline{\hspace{3cm}}

Posted 2 months ago

Question

g(x)

g(x)

is the translation

8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

k

\newline

g(x) =

\newline

Posted 2 months ago

Question

x

\newline

x^2 = 1

\newline

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

\newline

Posted 2 months ago