Question

Solve for x;1/x+4–1/x+7=11/30

Answer 1

Simplify:

Step-by-step explanation:

$\ Given \ value:\\\\\frac{1}{x}+4-\frac{1}{x+7}=\frac{11}{30}$

$\ Solution:\\\frac{(x+7)+4x(x+7)-11x}{x(x+7)}=\frac{11}{30}\\\\\frac{x+7+4x^2+28x-11x}{x(x+7)}=\frac{11}{30}\\\\\frac{4x^2+18x+7}{x^2+7x}=\frac{11}{30}\\\\30(4x^2+18x+7)=11(x^2+7x)\\\\120x^2+54x+210=11x^2+77x\\\\109x^2-23x+210=0$

$\ compare \ value \ with \ ax^2+bx+c=0\\a=109\\b= -23\\c= 120\\x = \frac{-b \± \sqrt{b^2-4ac}}{2a}\\\ put \ value \ in \ formula \ it will \ give \\\\x = \frac{23 \± \sqrt{51791}}{218}$

Learn more:

• Simplify: https://brainly.in/question/8923679