Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

9 Given that
x-y=5 and
xy=-6(1)/(2), find the value of
x^(2)+y^(2).

$9$ Given that $x-y=5$ and $x y=-6 \frac{1}{2}$ , find the value of $x^{2}+y^{2}$ .

View step-by-step help

View step-by-step help

Evaluate expression when two complex numbers are given

Full solution

Q.

9

Given that

x-y=5

and

x y=-6 \frac{1}{2}

, find the value of

x^{2}+y^{2}

.

Expand and Square: We know that $(x - y)^2 = x^2 - 2xy + y^2$ . $\newline$ Let's square the first equation: $(x - y)^2 = 5^2$ .
Calculate Value: Now calculate the square of $5$ : $5^2 = 25$ .
Substitute and Simplify: Substitute the value of $xy$ from the second equation into the expanded form of $(x - y)^2$ . So, $x^2 - 2xy + y^2 = x^2 - 2\times(-6\times\frac{1}{2}) + y^2$ .
Correct Calculation: Calculate the double of $xy$ : $2\times(-6\times\frac{1}{2}) = -13$ . Oops, made a mistake here. It should be $2\times(-6\times\frac{1}{2}) = -6$ .

More problems from Evaluate expression when two complex numbers are 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 2 months ago

Question

\newline

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

\newline

\newline

Write your answer in the form

a + bi

. Reduce all fractions.

\newline

\_\_\_\_\_

\newline

Posted 2 months 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 2 months 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 4 months ago

Question

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

\newline

Express your answer in the form

(a+b i)

Posted 2 months ago