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3 years ago

The roots of the equation x^2+bx+c=0 are −4 and 2. Find b and Find c

1 answer:

5 0

Since its roots are -4 and 2 and a = 1 [The coefficient of x^2] we know that x^2 + bx + c = (x - (-4)) (x-2)=(x+4)(x-2) = 0. Using the distributive property we get, x^2 + 2x - 8 = 0. By equating coefficients (common strategy for partial fractions and undetermined coefficient method of solving ODE), we get b = 2 and c = -8.

Hope this helps :) If you spot a mistake in my work or have a question comment down below.

You might be interested in

4x + 1/3 y 2 what is the value of the expression above when x = 2 and y = 3

GenaCL600 [577]

Hoi!

To solve this, first plug in the values for x and y.

x = 2, so anywhere you see x, put 2 in its place.

y = 3, so anywhere you see y, put 3 in its place.

$4(2) + \frac{1}{2}(3)$

4 × 2 = 8

$\frac{1}{2}$ × 3 = $1 \frac{1}{2}$

$8 +1 \frac{1}{2}$ = $9 \frac{1}{2}$

$9 \frac{1}{2}$ is your answer.

4 0

3 years ago

Read 2 more answers

Plz answer the question attached

Agata [3.3K]

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula. It doesn't matter which ones, you will get the right answer regardless. I used (-3, 11) and (2, 1).

$m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2$

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form. You will also need to plug one of the given points. Again, it doesn't matter which one.

$y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5$

4 0

3 years ago

The perimeter of a rectangular deck is 4 times its width. If the deck's perimeter is 30 feet, what is the deck's area?

RSB [31]

Answer:

i think it is 120

Step-by-step explanation:

4 multiplied by 30 is 120

4 0

3 years ago

Draw a line representing the "rise" and a line representing the "run" of the line, State

Alexxx [7]

Answer:

The slope of the line m = 1

The equation of the straight line x -y -7=0

Step-by-step explanation:

Explanation:-

In the given graph

The points are ( 7,0) and ( 0, -7)

The slope of the line

$m = \frac{y_{2}- y_{1} }{x_{2}-x_{1} } = \frac{-7-0}{0-7} = \frac{-7}{-7} = 1$

The equation of the straight line passing through the point (7,0) and slope m=1

y - y₁ = m (x - x₁)

y - 0 = 1( x-7)

y = x -7

x - y -7=0

Final answer:-

The slope of the line m = 1

The equation of the straight line x -y -7=0

4 0

3 years ago

30 PT AND BRAINLIEST

oee [108]

If the design is the cube in the second answer then it would have a surface area of 25 cm per face of the cube because to get the surface are you would multiple side by side of a face and then to get the full cubes surface area multiple one faces surface area by six because the cube has six faces and to get the volume you cube the side length of 5cm to get 125cm cubed. Hope this helps.

3 0

3 years ago