Solve the equation: p-19/6= -15/6 The slash is the fraction bar jsyn :)) pls help

Mathematics

2 answers:

nordsb [41]3 years ago

8 0

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$p - \frac{19}{6} = - \frac{15}{6} \\$

Add sides 19 / 6

$p - \frac{19}{6} + \frac{19}{6} = - \frac{15}{6} + \frac{19}{6} \\$

$p = \frac{19 - 15}{6} \\$

$p = \frac{4}{6} \\$

$p = \frac{2 \times 2}{2 \times 3} \\$

$p = \frac{2}{3} \\$

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8090 [49]3 years ago

4 0

The answer will be

P= 2/3

Here are the steps if you need them : multiply the numbers after divide them after add 19/6 to both sides of the equation after simplify the numbers and after you get your answers :) have a nice day!

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X-3 and 2x-1 are factors of 2x^3-px^2-2qx+q. Find the values of p and q.

Nonamiya [84]

Answer:

p =1

q = 9

Step-by-step explanation:

f(x) = 2x³ - px² + 2qx + q

(x - 3) is a factor of f(x)

⇒f(3) = 0

2(3)³ - p*3² - 2q*3 +q = 0

2*27 - 9p - 6q + q = 0

54 - 9p - 5q = 0

-9p - 5q = -54 -------------------(I)

(2x - 1) is a factor of f(x)

2x - 1 = 0

2x = 1

$\st x = \dfrac{1}{2}$

f(1/2) = 0

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