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3 years ago

Simplify the expression. 3+i/2-i x 4+i/2+i

Mathematics

2 answers:

saul85 [17]3 years ago

6 0

Answer:

(11 + 7i) / 5

11/5 + 7/5 i

Step-by-step explanation:

(3 + i) / (2 − i) × (4 + i) / (2 + i)

((3 + i) (4 + i)) / ((2 − i) (2 + i))

(12 + 3i + 4i + i²) / (4 + 2i − 2i − i²)

(12 + 7i − 1) / (4 + 1)

(11 + 7i) / 5

11/5 + 7/5 i

cluponka [151]3 years ago

3 0

Answer:

The solution of your problem is 3-2i

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3 years ago

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3 years ago

help me with the Quadratic equation.... x2+ (p - 5) x + 2q = 0 has the roots −3 and 6. Find the value of P and the value of q.

nirvana33 [79]

Step-by-step explanation:

The quadratic equation is x² + (p - 5)x + 2q = 0.

By Vieta's Formula,

we have SOR = -b/a and POR = c/a.

=> (-3) + (6) = -(p - 5) and (-3)(6) = 2q.

=> 3 = 5 - p and -18 = 2q

Hence, p = 2 and q = -9.

Alternate Method:

We have (x + 3) and (x - 6) as factors of the quadratic equation x² + (p - 5)x + 2q = 0.

=> (x + 3)(x - 6) = x² - 3x - 18.

By Comparing Coefficients,

(p - 5) = -3 and 2q = 18.

Hence p = 2 and q = -9.

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3 years ago

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bulgar [2K]

Answer:

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3 years ago

F(x)=18x+11, find f(5)

Natalija [7]

Answer:

$\boxed {\tt f(5)=101}$

Step-by-step explanation:

We are given the function:

$f(x)=18x+11$

and asked to find f(5). Therefore, we must substitute 5 in for each $x$ .

$f(5)=18(5)+11$

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 18 and 5.

$f(5)=90+11$

Add 90 and 11.

$f(5)=101$

f(5) is equal to 101.

5 0

3 years ago