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GREYUIT [131]
2 years ago
8

17 points please show your work Solve. x^2+5x+6=0

Mathematics
1 answer:
timama [110]2 years ago
8 0

Answer:

<h2>x = -2 or x = -3</h2>

Step-by-step explanation:

x^2+5x+6=0\\\\x^2+2x+3x+6=0\\\\x(x+2)+3(x+2)=0\\\\(x+2)(x+3)=0\iff x+2=0\ \vee\ x+3=0\\\\x+2=0\qquad\text{subtract 2 from both sides}\\x=-2\\\\x+3=0\qquad\text{subtract 3 from both sides}\\x=-3

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At which point do the two equations
Lena [83]

The lines intersect at two places.

They intersect at approximately (-2,8) and (2,3)

Looking at the choices they would be at (1.8,3.2) and (-2.8,7.8)

The answer is D. Both A and B.

4 0
2 years ago
The value of the solid's surface area is equal to the value of the solid's volume. Find the value of x. We know the length is 9
Lerok [7]

Given:

The value of the solid's surface area is equal to the value of the solid's volume.

Length(l) = 9 units

width(b) = 4 units

Height(h) = x units

To find:

The value of x.

Solution:

Solid's surface area is

Area=2(lb+bh+hl)

Area=2(9\times 4+4\times x+x\times 9)

Area=2(36+4x+9x)

Area=2(36+13x)

Area=72+26x

Volume of solid is

Volume=l\times b\times h

Volume=9\times 4\times x

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72=10x

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4 0
3 years ago
Liam's baking plans changed. He
julsineya [31]

Answer:

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Step-by-step explanation:

6 0
3 years ago
Simplify
uysha [10]
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4 0
3 years ago
Identify the steps to completing the square. Its on my algebra 2 homework and i have no idea what it means
Mrrafil [7]
1. your leading coefficient has to be 1 (nothing before the x^2). If there is you have to divide that out before you start.
2. Move your constant (the number without any x attached) to the other side of the equation
3. take 1/2 of the b term (the one with the x attached) and then square it and then add it to both sides
4. Factor the left side
5. Set each factor equal to 0 and solve

Here is an example:

4x^2-24x+20=0
The first term is not a 1 so we have to divide it out by 4 first
x^2-6x+5=0
Move the 5 to the other side.  It becomes negative.
x^2-6x=-5
Take 1/2 of 6 (3) then square it (9) and add it to both sides.
x^2-6x+9=-5+9
Factor the left side
(x-3)(x-3)=4
(x-3)^2=4
To solve you need to square root both sides
x-3=+/-
x-3=+/-2
x=3+2=5
x=3-2=1
Those would be your two answers.

<span>Hope that helps</span>
4 0
2 years ago
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