Question

Describe and correct the error in solving the equation. HELP ASAP

Answer 1

The given equation is ,

`\underline{\underline{4 {x}^(2) - 6 = - 17}} \\ taking \: the \: like \: terms \: at \: either \: sides \: ,\: \\ \implies \: 4 {x}^(2) = - 17 + 6 \\ \implies \: 4 {x}^(2) = - 11 \\ since \: we \: need \: our \: answer \: in \: terms \: of \: x ,\\ \: therefore \: we \: will \: divide \: both \: sides \: by \: 4 \\ \\ \implies \: \cancel\frac{4 {x}^(2) }{4} = \cancel( - 11)/(4) \\ \\ \implies \: {x}^(2) = ( - 11)/(4) \\ \\ square \: rooting \: both \: sides ,\: \\ \\ \sqrt{ {x}^(2) } = \sqrt{ ( - 11)/(4) } \\ \\ \implies \: x = \pm ( √( - 11) )/(2)`

Thus ,

The solutions obtained will be as follows -

`\boxed{x = ( √( - 11) )/(2)} \: \: and \: \: \boxed{x = - ( √( - 11) )/(2) }`

NOTE - THE ERROR IS SPOTTED IN THE LAST STEP WHERE ADDING A MINUS SIGN BEFORE 11 WAS SKIPPED.

HIGHLIGHTED STEP-

`(x = \pm ( √(11) )/(2) ) \\`

hope helpful! :)