Mathematics, 03.08.2019 14:30 greciakawaii

How do you solve for x in this quadratic equation? : 5x^2 – 34x + 24 = 0

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Answer from: zamawi17

Quadratic formula
factoring
graphing
completing the square
factoring by grouping
Rational Roots Theorem
synthetic division

Take a look at 5x^2 – 34x + 24 = 0. The last term could have been the result of these different possible muliplications: 1*24, 2*12, 3*8, 4*6. The leading term is 5, whose factors are 5 and 1. Thus, possible rational roots would be
4/5 (the 4 is a factor of 24 and the 5 is a factor of 5) and 6/1 (the 6 is a factor of 24 and the 1 is a factor of 5).

Using synth. div. to check whether 6 is actually a root:

6 / 5 -34 24
30 -24

5 -4 0

since the remainder is 0, we can safely call 6 a "root."
Note the remaining coefficients, 5 and -4:

They correspond to the factor 5x - 4. If we set this difference = to 0, and solve for x, we get x = 4/5 (which is correct).

The roots of 5x^2 – 34x + 24 = 0 are x = 4/5 and x= 6/1.

Answer from: Quest

$27.5

step-by-step explanation:

$110.00 divided by 4

Answer from: Quest

the population of other specie of birds will decline or other specie of birds will find some alternate source of food to survive.

explanation:

according to the competitive exclusion principle, which is also known as gause's law, two specie living in the same niche and feeding on the same resource cannot co-exist stably.

as we have well studied the theory of natural selection which states that only those organisms survive which have better tendency to compete for food and adapt to the environmental conditions.

coming towards the question, what wi ll happen when one species outcompetes the other for the small fish , the other specie will not get enough food and will start to die or decline in population. eventually either other specie needs to find another alternative food source for itself or migrate at some other location where there is less competition otherwise it will just not exist anymore at that niche.

hope it !

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How do you solve for x in this quadratic equation? : 5x^2 – 34x + 24 = 0...

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