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german
3 years ago
6

-7x+5=-16 what is the answer

Mathematics
2 answers:
vova2212 [387]3 years ago
6 0

The answer would be  x= 3

koban [17]3 years ago
3 0

First move +5 to to the other side.

-7x=-16-5

-7x=-21

Then after this devide both sides by negative seven.

X=3

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Answer:

A and B

Step-by-step explanation:

we would like to solve the following equation:

\rm\displaystyle 5 - 2x =  \sqrt{ {2x}^{2} + x - 1 }  - x

to do so isolate -x to the left hand side and change its sign:

\rm\displaystyle 5 - 2x + x =  \sqrt{ {2x}^{2} + x - 1 }

simplify addition:

\rm\displaystyle 5 - x =  \sqrt{ {2x}^{2} + x - 1 }

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\rm\displaystyle   {2x}^{2} + x - 1 =  {x}^{2}  - 10x + 25

isolate the right hand side expression to the left hand side and change every sign:

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rewrite the middle term as 13x-2x:

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factor out x:

\rm\displaystyle   x({x}^{} + 13)- 2x  -  26=  0

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\rm\displaystyle   (x- 2)(x   +  13)=  0

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\displaystyle    \begin{cases}x- 2  = 0\\ x   +  13=  0 \end{cases}

solve for x:

\displaystyle    \begin{cases}x = 2\\ x  =   - 13 \end{cases}

to check for extraneous solutions we can define the domain of equation recall that a square root of a function is always greater than or equal to 0 therefore

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solve the inequality for x:

\rm\displaystyle x    \leqslant  5

since 2 and -13 is less than 5 both solutions are valid for x hence,

\displaystyle    \begin{cases}x _{1} = 2\\  x_{2} =   - 13 \end{cases}

and we're done!

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