Question

What are the possible vaules of x it (4x-5)2=49?

Answer 1

The possible value would be 7.375 let me know if it works!

Answer 2

`\boxed{The\:value\:of\:x\:is\:7.375.}`

`\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}`

`(4x - 5)2 = 49 \\ ⇢8x - 10 = 49 \\⇢8x = 49 + 10 \\ ⇢8x = 59 \\ ⇢x = (59)/(8) \\ ⇢x = 7.375`

Therefore, the value of x is 7.375.

`{ \bf{ \underbrace{To\:verify :}}}`

`(4x - 5)2 = 49 \\ ⇢(4 * 7.375 - 5)2 = 49 \\ ⇢(29 .5 - 5)2 = 49 \\ ⇢24.5 * 2 = 49 \\ ⇢49 = 49 \\ ⇢ L.H.S.=R. H. S`

Hence verifed.

`\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}`