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max2010maxim [7]
3 years ago
10

Find the zeros of the function and 2x² + 72=0

Mathematics
1 answer:
Natalija [7]3 years ago
6 0

Answer:

x = ± 6i

Step-by-step explanation:

Given

2x² + 72 = 0 ( subtract 72 from both sides )

2x² = - 72 ( divide both sides by 2 )

x² = - 36 ( take the square root of both sides )

x = ± \sqrt{-36}

  = ±( \sqrt{36(-1)})

  = ±( \sqrt{36} × \sqrt{-1}) → \sqrt{-1} = i

  = ± 6i

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Answer:

D=-4<0, the equation has no real solutions, it has two imaginary solutions.

Step-by-step explanation:

The quadratic equation x^2 +4x+5=0 has coefficients

a=1,

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The discriminant D is the expression

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Hence,

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Since the discriminant is negative, the equation has no real solutions, it has two imaginary solutions.

4 0
3 years ago
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What is the equation of the inverse function A(n)=3n-20
Allisa [31]

Answer:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

Step-by-step explanation:

First, let's change those variables to x and y, just for the sake of convenience.  In order to find the inverse of a function algebraically, switch the x and y coordinates, then solve for the new y.  Letting y = A(n) and x = n (we will switch them back when we're done):

y = 3x - 20.  This is linear; a line with a slope of 3 and a y-intercept of -20.  When we switch the x and the y, we get:

x = 3y - 20.  Now we solve for the new y.  Begin by adding 20 to both sides:

x + 20 = 3y.  Now divide both sides by 3:

\frac{x+20}{3}=y, or to write it in slope-intercept form, like the function you started with:

y=\frac{1}{3}x+\frac{20}{3}

This is also a line, with a slope of 1/3 and a y-intercept of +20/3

Now, replacing:

A^{-1}(n)=\frac{1}{3}n+\frac{20}{3}

That is how to write the inverse using function notation.  The little -1 as an exponent tells us that this is the inverse of the function A(n).

5 0
3 years ago
What are the 2 square roots
tigry1 [53]
Idk sorry try asking another person
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2 years ago
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snow_lady [41]

Answer:

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Step-by-step explanation:

SMH sorry it wasnt  \ 21

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2 years ago
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vfiekz [6]

Answer:

1/2 log2

Step-by-step explanation:

I hope you understand

8 0
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