Question Use the Square Root Property to solve the quadratic equation 7x2 = -14. If there are multiple answers, list them separated
by a comma (e. g. 1,2). If there is no real solution, enter Ø.

Ø.

Step-by-step explanation:

Given the equation 7x^2 = -14. We are to find the value of x;

7x^2 = -14.

Divide both sides by 7

7x^2/7 = -14/7

x² = -2

Square root both sides

√x² = ±√-2

x = ±√2 i

The value of x is (-√2 i, √2 i)

Since there values is a complex values, hence there is no real solution. The answer is Ø.

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

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