After being rearranged and simplified, which of the following equations could be solved using the quadratic formula?

For this case we must indicate which of the equations shown can be solved using the quadratic formula.

By definition, the quadratic formula is applied to equations of the second degree, of the form:

Option A:

Rewriting we have:

This equation can be solved using the quadratic formula

Option B:

Rewriting we have:

It can not be solved with the quadratic formula.

Option C:

Rewriting we have:

This equation can be solved using the quadratic formula

Option D:

Rewriting we have:

It can not be solved with the quadratic formula.

A and C

The correct answer options are:

A)

C)

Step-by-step explanation:

Quadratic formula can be used to solve the equations in the form . Re-writing the equations to see if they can be solved using the quadratic formula.

A) :

B)

C)

D)

Therefore, option A) and option C) can be solved using the quadratic formula.

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places