Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

(e) It is given that
x^(2)-10 x=4y^(2)-25. Find the value of
x+2y.

(e) It is given that $x^{2}-10 x=4 y^{2}-25$ . Find the value of $x+2 y$ .

View step-by-step help

View step-by-step help

Evaluate expression when a complex numbers and a variable term is given

Full solution

Q. (e) It is given that

x^{2}-10 x=4 y^{2}-25

. Find the value of

x+2 y

.

Rearrange Equation: First, let's rearrange the equation to make it look like a perfect square on both sides. $\newline$ $x^2 - 10x + 25 = 4y^2$
Identify Perfect Square: Now, we can see that the left side of the equation is a perfect square trinomial. $\newline$ $(x - 5)^2 = 4y^2$
Take Square Root: Next, we take the square root of both sides to solve for $x$ and $y$ . $x - 5 = \pm 2y$
Isolate $x$ : We want to find $x + 2y$ , so let's rearrange the equation to isolate $x$ . $x = 5 \pm 2y$
Find $x + 2y$ : Now, we add $2y$ to both sides to find the expression for $x + 2y$ . $\newline$ $x + 2y = 5 \pm 2y + 2y$

More problems from Evaluate expression when a complex numbers and a variable term is given

Question

\newline

8i + 6i

\newline

\newline

Write your answer in the form

a + bi

\newline

\underline{\hspace{1cm}}

\newline

Posted 2 months ago

Question

Find the complex conjugate of the given number.

\newline

4 + 10i

\newline

\newline

Write your answer in the form

a + bi

\newline

Posted 1 month ago

Question

\newline

\frac{{-4i}}{{-9i}}

\newline

\newline

Write your answer in the form

a + bi

. Reduce all fractions.

\newline

\_\_\_\_\_

\newline

Posted 1 month ago

Question

Combine the like terms to create an equivalent expression.

\newline

7k-k+19=\boxed{\phantom{0}}

Posted 4 months ago

Question

Apply the distributive property to factor out the greatest common factor.

\newline

9+12 n=

Posted 1 month ago

Question

Solve the equation.

\newline

\begin{aligned} & 12=n-9 \\ n= & \square \end{aligned}

Posted 4 months ago

Question

What is the amplitude of

y=-\sin (8 x-3)+5

\newline

Posted 2 months ago

Question

What is the period of

\newline

y=4 \sin (-2 x+7)-1 \text { ? }

\newline

Give an exact value.

\newline

Posted 1 month ago

Question

3 \cdot(3+20 i)=

\newline

Your answer should be a complex number in the form

a+b i

a

b

are real numbers.

Posted 3 months ago

Question

(35-23 i)+(13+25 i)=

\newline

Express your answer in the form

(a+b i)

Posted 1 month ago