Math, asked by kindopriya16, 8 months ago

240÷(x-5)-240÷x=8 ...with each steps ?​

Answers

Answered by Anonymous
1

Answer:

\frac{240}{\left(x-5\right)}-\frac{240}{x}=8

\frac{240}{x-5}-\frac{240}{x}=8

\frac{240}{x-5}x\left(x-5\right)-\frac{240}{x}x\left(x-5\right)=8x(x-5) multiply all terms with lcm 'x(x+5)'

240x-240\left(x-5\right)=8x\left(x-5\right)

240x - 240x+1200 = 8x^2-40x

8x^2 - 40x -1200 = 0

x^2 - 5x - 150 = 0

x^2 - 15x + 10x -150 = 0

x(x-15)+10(x-15) = 0

(x+10)(x-15) = 0

x=15,\:x=-10

hope this helps pls mark as brainliest

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