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What is the solution of n^2-49=0
a.-7
b7
c.+/-7
d. no solution

2. What is the solution of x^2+64=0
a.-5
b.8
c.+/-8
d. no solution

3. what is the side length of a square with an area of 144x^2
a.12
b.12x
c.+/-12x
d. no solution

Sagot :

the prior person is incorrect on the first and last ones. #1 should be c +/-7 because a square root can be positive or negative. for #2 it should be b 12x, the guy before must have forgot about the x. if you appreciated my help consider giving me brainliest!

Answer:  The correct option are (1). c, (2). d and (3). (b).

Step-by-step explanation:  The calculations are as follows:

(1) We are to find the solution of the following quadratic equation:

[tex]n^2-49=0.[/tex]

We have

[tex]n^2-49=0\\\\\Rightarrow n^2=49\\\\\Rightarrow n=\pm7~~~~~\textup{[taking square roots on both sides]}[/tex]

Thus, the correct option is (c). [tex]\pm7.[/tex]

(2) We are to find the solution of the following quadratic equation:

[tex]x^2+64=0.[/tex]

We have

[tex]x^2+64=0\\\\\Rightarrow x^2=-64.[/tex]

Since there is no real number whose square is negative, so this equation has no solution.

Thus, the correct option is (d). no solution.

(3) We are given to find the side length of a square with an area of 144x².

Let, 'a' denotes the side length of the square.

Then,

[tex]a^2=144x^2\\\\\Rightarrow a=\pm12x.~~~~~~~\textup{[taking square root on both sides]}[/tex]

Since the length of the side cannot be negative, so the side length is 12x.

Thus, (b) is the correct option.

The correct option are (1). c, (2). d and (3). (b).

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