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2 years ago

B) Solve x ^ 2 + 5x - 14 = 0

2 answers:

6 0

$x^2 +5x -14 =0\\\\\implies x^2 +7x -2x -14 =0\\\\\implies x(x+7) -2(x+7)=0\\\\\implies (x-2)(x+7) =0\\\\\implies x =2~~ \text{or}~~ x =-7$

Vinil7 [7]2 years ago

6 0

Answer:

x = -7 and x = 2

Step-by-step explanation:

x ^ 2 + 5x - 14 = 0 can be factored as follows: (x + 7)(x - 2). Note how 7x - 2x = 5x.

Setting each factor = to 0 and solving for x, we get x = -7 and x = 2.

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3 years ago

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3 years ago

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lisabon 2012 [21]

Step-by-step explanation:

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$\text{Average rate of change} \ = \ \displaystyle\frac{\Delta y}{\Delta x} \\ \\ \rule{3.7cm}{0cm} = \dsiplaystyle\frac{f\left(x+h\right) \ - \ f\left(x\right)}{\left(x \ + \ h \right) \ - \ x} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{f\left(x + h\right) \ - \ f\left(x\right)}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x+h-2} \ - \ 4^{x-2}}{h} \\ \\ \\ \rule{3.7cm}{0cm} = \displaystyle\frac{4^{x-2+h} \ - \ 4^{x-2}}{h}$

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7 0

1 year ago

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Leya [2.2K]

Answer:

-infinity

Step-by-step explanation:

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3 0

2 years ago

1.) Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not ha

Mazyrski [523]

9514 1404 393

Answer:

x = x+1
0 = x+1
x+1 = x+1

Step-by-step explanation:

1. There will be no solution if the equation is a contradiction. Usually, it is something that can be reduced to 0 = 1.

If we choose to make our equation ...

x = x +1

Subtracting x from both sides of the equation gives ...

0 = 1

There is no value of the variable that will make this be true.

2. Something that reduces to x = c will have one solution. One such equation is ...

0 = x+1

x = -1 . . . . subtract 1 from both sides

3. Something that reduces to x = x will have an infinite number of solutions.

One such equation is ...

x+1 = x+1

Subtracting 1 from both sides gives ...

x = x . . . . true for all values of x

3 0

3 years ago