Math, asked by jigyasha143, 1 month ago

solve for x, x+6 by 4 + x-3 = 5x-4 by 8​

Answers

Answered by MathCracker
18

Question :-

solve for x, x+6 by 4 + x-3 = 5x-4 by 8.

Solution :-

Given :

 \rm{ \frac{x + 6}{4 + x - 3} =  \frac{5x - 4}{8}  } \\

Need to find :

  • Value of x

Finding x

\sf:\longmapsto{ \frac{x + 6}{4 + x - 3} =  \frac{5x - 4}{8}  } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \sf:\longmapsto{ \frac{x + 6}{1 + x}  =  \frac{5x - 4}{8} } \:  \:  \:  \:  \:  \:   \:   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:   \:   \:  \:  \: \\  \\ \sf:\longmapsto{8(x + 6) = (1 + x)(5x - 4)}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \sf:\longmapsto{8x + 48 = 1(5x - 4) + x(5x - 4)} \:  \\  \\ \sf:\longmapsto{8x + 48 = 5x - 4 + 5x {}^{2}  - 4x}  \: \:  \:  \:  \:  \:  \:  \:   \\  \\ \sf:\longmapsto{8x + 48 + 4 = 5x {}^{2}  + x} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \sf:\longmapsto{8x - x + 54 = 5x {}^{2} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \sf:\longmapsto{7x + 54 = 5x {}^{2} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\ \sf:\longmapsto{5x {}^{2} - 7x - 54 = 0 } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

After solving we get a Quadratic equation.

But after seeing the equation we get the quadratic equation is not factorable.

Hence, the given expression will be incorrect.

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Learn more from brainly :

Solve for x:

X+6/4+x-3/5=5x-4/8

https://brainly.in/question/17748023

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