Solve this quadratic function algebraically

Mathematics

1 answer:

Sonja [21]4 years ago

5 0

Answer:

Step-by-step explanation:

Please use " ^ " to denote exponentiation: f(x)= 3x^2 - 6.

f(x)= 3x^2 - 6 can be factored (not solved) as follows:

f(x)= 3(x^ 2 -1) = 3(x - 1)(x + 1).

If you want a "solution," you must set f(x)= 3(x^ 2 -1) = 3(x - 1)(x + 1) = to 0 and solve the resulting equation for x: x = 1 and x = -1.

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Using integration, it is found that the area between the two curves is of 22 square units.

<h3>What is the area between two curves?</h3>

The area between two curves y = f(x) and y = g(x), in the interval from x = a to x = b, is given by:

$A = \int_{x = a}^{x = b} |f(x) - g(x)| dx$

In this problem, we have that:

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Hence, the area is:

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$A = |3^3 - 54 - 1^3 + 6|$

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More can be learned about the use of integration to find the area between the two curves at brainly.com/question/20733870

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EastWind [94]

This is applying the formula
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