3 years ago

determine the quadrant(s) in which (x,y) is located so that the condition(s) is (are) satisfied. x > 0 and y < 0

Mathematics

1 answer:

jonny [76]3 years ago

8 0

The only quadrant where x>0 and y<0 is the fourth quadrant.

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Step by step solutions

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3 years ago

What are all of the real roots of the following polynomial? f(x) x^4-24x^2-25

Greeley [361]

<u>Answer:</u>

x = ±5

<u>Step-by-step explanation:</u>

We are given the following polynomial function and we are to find all of its real roots:

$x^4-24x^2-25$

Let $y=x^2$ so we can now write it as:

$y^2-24y-25$

Factorizing it to get:

$(y^2+y)+(-25y-25)$

$y\left(y+1\right)-25\left(y+1\right)$

$\left ( y + 1 \right ) \left ( y - 2 5 \right)$

Substitute back $y=x^2$ to get:

$\left ( x^2 + 1 \right ) \left ( x^2 - 25 \right )$

$\left ( x^2 + 1 \right ) \left ( x + 5 \right ) \left ( x - 5 \right )$

The quadratic factor has only complex roots. Therefore, the real roots are x = ±5.

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The container that holds the water for the football team is 1/2 full. after pouring in 9 gallons oo water, it is 4/5 full. how m

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The length of each side of a rhombus is 10 and the measure of an angle of the rhombus is 60. Find the length of the longer diago

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3 years ago

If p and q vary inversely and p is 10 when q is 19 , determine q when p is equal to 2

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You divide 10 by 5 is two so 19 decided by five is 3.8

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