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xxxamslashxxx9

01.05.2022

Mathematics

Option 2 and 3 - 3 and $-\frac{1}{2}$

Step-by-step explanation:

Given : Equation (4x-5)^2=49

To find : What are the possible values of x ?

Solution :

Equation (4x-5)^2=49

Taking root both side,

$\sqrt{(4x-5)^2}=\sqrt{49}$

$(4x-5)=\pm 7$

Taking 4x-5=7

4x=7+5

4x=12

$x=\frac{12}{4}$

x=3

Taking 4x-5=-7

4x=-7+5

4x=-2

$x=-\frac{2}{4}$

$x=-\frac{1}{2}$

The possible values of x are 3 and $-\frac{1}{2}$

Therefore, option 2 and 3 are correct.

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