Question

solve for x: 1/x+4 - 1/x+7 =11/30​

Answer 1

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Given --

$1 \div x + 4 - 1 \div x + 7 = 11 \div 30 \\ (x + 7) - (x + 4) \div (x + 4)(x + 7) = 11 \div 30 \\ 3 \div x {}^{2} + 7x + 4x + 28 = 11 \div 30 \\ 3(30) = 11(x {}^{2} + 7x + 4x + 28) \\ 90 = 11x {}^{2} + 77x + 44x + 308 \\ \\11x {}^{2}+ 77x + 44x + 308 - 90 = 0 \\ 11x {}^{2} \: + 77x + 218 = 0 \\ d = b {}^{2} - 4ac \\ d = (77) {}^{2} - 4 \times 11 \times 218 \\ d = 5929 - 44 \times 218 \\ d = 5929 - 9592 \\ d = - 3663 \\ \\ this \: not \: possible \: since \: discriminant \: is \: negative \\ \\ \\ \\ may \: this \: help \: you \\ mark \: as \: brainliest \: \\ follow \: me \: for \: more \: answer$