Question

(Algebra || is Soo hard!) Please someone help me:)

Answer 1

Answer:

B

Step-by-step explanation:

B is the correct answer

2+i/5= i=5 +=-

have a nice day

Answer 2

Answer:

$\boxed{\sf B) \ 2-i}$

Step-by-step explanation:

$\sf \frac{2+i}{5}$

Reciprocal the fraction.

Switch the denominator with the numerator.

$\sf \frac{5}{2+i }$

Multiply the numerator and the denominator with the conjugate $\sf 2-i$.

$\sf \frac{5(2-i)}{(2+i)(2-i)}$

$\sf \frac{10-5i}{(2+i)(2-i)}$

Apply rule to solve for the denominator:

$\sf (a+bi)(a-bi)=a^2 +b^2$

$\sf a=2\\b=1$

$\sf \frac{10-5i}{2^2 +1^2 }$

$\sf \frac{10-5i}{4+1}$

$\sf \frac{10-5i}{5}$

Simplify the fraction.

$\sf \frac{10}{5}-\frac{5i}{5}$

$\sf 2-i$