All categories

3 years ago

Factor -4x^2+16x-24 completely

Mathematics

2 answers:

Lana71 [14]3 years ago

8 0

-4x²+16x-24=-1(4x²-16x+24)=-4(x²-4x+6)
x²-4x+6 has no real roots. ☺☺☺☺

Troyanec [42]3 years ago

4 0

Let's complete the square (as this is actually how the quadratic formula is derived)

-4x^2+16x-24=0 make the leading coefficient equal to 1 by dividing the entire equation by -4

x^2-4x+6=0, move the constant to the other side by subtracting 6 from both sides

x^2-4x=-6, halve the linear coefficient, square it, then add it to both sides, (-4/2)^2=4

x^2-4x+4=-2 now the left side is a perfect square

(x-2)^2=-2 now take the square root of both sides

x-2=±i√2 note the imaginary unit i as there is no real square root of -2, now add 2 to both sides

x=2±i√2 so the factored quadratic is:

(x+2-i√2)(x+2+i√2)

Note that these are not real factors, if you were to graph the original equation, it will never intersect with the x-axis...

You might be interested in

2 1/8 - 1 1/4 can someon e help????

olasank [31]

The answer would be: -0.125

7 0

2 years ago

Read 2 more answers

Roberto will save 1/6 of his alowence each day. If he gets $2.00 a day, about how much money will he save each day? Round your a

Tresset [83]

2.00/6 = $0.33 rounded to the nearest penny, it actually is $0.333333333333 (infinite)

I hope this helped you out :)

5 0

3 years ago

What is the area of the logo?

Ludmilka [50]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

4 0

3 years ago

Read 2 more answers

Which word describes 3y in the given expression? a) coefficient b)constant c) factor d) term I need answers quick

otez555 [7]

Constant duuuuuuuuuuuuu

4 0

3 years ago

The horizontal value at which the highest point of a variable's normal curve occurs is also the ____ of the variable.

inessss [21]

The answer to the question mentioned above is "the mean" such as the whole sentence will become "The horizontal value at which the highest point of a variable's normal curve is also the MEAN of the variable". This is the answer.

4 0

3 years ago