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Ksju [112]
3 years ago
10

What is the value of b^2-4ac for the following equation 2x^2-2x-1=0

Mathematics
1 answer:
Eva8 [605]3 years ago
8 0
Here a = 2, b = -2, c = -1
b^2-4ac = (-2)^2 - 4(2)(-1)
= 4 +8
= 12
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What is the volume of the cube shown?<br> 112 in<br> 30 in<br> 6<br> in<br> 2<br> in
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11 \frac{25}{64}

<h3>First answer is correct</h3>

Step-by-step explanation:

2 \frac{1}{4}  \times 2 \frac{1}{4}  \times 2 \frac{1}{4}  \\  \frac{9}{4}  \times  \frac{9}{4}  \times  \frac{9}{4}  \\  =  \frac{729}{64}   \\ = 11 \frac{25}{64} \:  \:  \:   {in}^{3}

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Factoring trinomials
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Trinomial

Step-by-step explanation:

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Hitman42 [59]
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3 0
3 years ago
In this problem we consider an equation in differential form Mdx+Ndy=0. (4x+2y)dx+(2x+8y)dy=0 Find My= 2 Nx= 2 If the problem is
zheka24 [161]

Answer:

f(x,y)=2x^2+4y^2+2xy=C_1\\\\Where\\\\y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

Step-by-step explanation:

Let:

M(x,y)=4x+2y\\\\and\\\\N(x,y)=2x+8y

This is and exact equation, because:

\frac{\partial M(x,y)}{\partial y} =2=\frac{\partial N}{\partial x}

So, define f(x,y) such that:

\frac{\partial f(x,y)}{\partial x} =M(x,y)\\\\and\\\\\frac{\partial f(x,y)}{\partial y} =N(x,y)

The solution will be given by:

f(x,y)=C_1

Where C1 is an arbitrary constant

Integrate \frac{\partial f(x,y)}{\partial x} with respect to x in order to find f(x,y):

f(x,y)=\int\ {4x+2y} \, dx =2x^2+2xy+g(y)

Where g(y) is an arbitrary function of y.

Differentiate f(x,y) with respect to y in order to find g(y):

\frac{\partial f(x,y)}{\partial y} =2x+\frac{d g(y)}{dy}

Substitute into \frac{\partial f(x,y)}{\partial y} =N(x,y)

2x+\frac{dg(y)}{dy} =2x+8y\\\\Solve\hspace{3}for\hspace{3}\frac{dg(y)}{dy}\\\\\frac{dg(y)}{dy}=8y

Integrate \frac{dg(y)}{dy} with respect to y:

g(y)=\int\ {8y} \, dy =4y^2

Substitute g(y) into f(x,y):

f(x,y)=2x^2+4y^2+2xy

The solution is f(x,y)=C1

f(x,y)=2x^2+4y^2+2xy=C_1

Solving y using quadratic formula:

y(x)=\frac{1}{4} (-x\pm \sqrt{-7x^2+C_1} )

4 0
3 years ago
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