Question

What are the possible values of x if (4x – 5)2 = 49? Check all that apply. StartFraction negative 4 Over 5 EndFraction StartFraction negative 1 Over 2 EndFraction 3 5 7

Answer 1

$(4x - 5)^2 = 49\\x = 3, -\frac{1}{2}$

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Answer 2

Answer:

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.