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3 years ago

Can someone PLEASE solve this quadratic equation by factoring with the steps? :(

Mathematics

1 answer:

salantis [7]3 years ago

5 0

Answer:

There are no simple factors to this expression. You can however solve for x, giving you:

x = -1 ± √(y + 3)

Step-by-step explanation:

There is no simple pair of factors to this equation, so we'll have to go through the full process. You can see that by observing that there is no pair of rational numbers that add to make 2 and multiply to make -2. We can however solve for x:

$y = x^2 + 2x - 2\\y + 2 = x^2 + 2x\\y + 3 = x^2 + 2x + 1\\y + 3 = (x + 1)^2\\(x + 1)^2 = y + 3\\x + 1 = \pm \sqrt{y + 3}\\x = -1 \pm \sqrt{y + 3}$

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Select the correct answer.

egoroff_w [7]

Answer:

Step-by-step explanation:

I've taken a picture of the way I solved it.

8 0

3 years ago

Find the area of the smaller sector

Digiron [165]

Since the radius is 6 inches, the area is

$A=\pi r^2=36\pi$ squared inches.

Now, the full circle is a sector given by a 360° angle. So, the area of a 140° angle will be proportionate:

$140\div x = 360\div 36\pi$

Solving for $x$ , we have

$x=\dfrac{36\pi\cdot 140}{360}=14\pi$

3 0

3 years ago

A square rug lies in the middle of a rectangular room. There are 6 feet of uncovered floor on 2 sides of the rug and 2 feet of u

Gekata [30.6K]

The polynomial expression for the area of the room is f(x) = x^2 + 16x + 48.

Here, we are given that the side of the length of the rug = x

Now, the square rug is placed on the rectangular room such that on 2 sides the uncovered floor is 6 meters.

This means that the length of the 2 opposite sides of the rectangle will be (x + 6 + 6) = (x + 12)

Similarly, there is 2 feet of uncovered floor on the other 2 sides, which means that the length of other two opposite sides is- (x + 2 + 2) = (x + 4)

Kindly refer to the diagram below for a better clarity of how we found out the sides.

Now, the area of a rectangle = Length × Breadth

Thus, area of the room = (x + 12) (x + 4)

= x^2 + 4x + 12x + 48

= x^2 + 16x + 48

Thus, the polynomial expression for the area of the room is f(x) = x^2 + 16x + 48

Learn more about quadratic equations here-

brainly.com/question/24334139

#SPJ9

4 0

1 year ago

Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, on

creativ13 [48]

Answer:

The answer is " $\bold{-\frac{1}{2}}$ "

Step-by-step explanation:

Miguel's choose the best way to win the 2 dollars by pulling the two chips with the number 1. In total, there are four balls, so his probability of winning is:

$\to \frac{2}{4} \times \frac{1}{3}= \frac{1}{6}$