Question

tìm x: 3/5x-25/4=1/2:x+5/4

Answer 1

\(\dfrac{3}{5}x-\dfrac{25}{4}=\dfrac{1}{2}:x+\dfrac{5}{4}\)

=>\(\dfrac{3}{5}x-\dfrac{25}{4}-\dfrac{1}{2x}+\dfrac{5}{4}\)

=>\(\dfrac{3}{5}x-\dfrac{1}{2x}=\dfrac{30}{4}\)

=>\(\dfrac{3x}{5}-\dfrac{1}{2x}=\dfrac{30}{4}\)

=>\(\dfrac{6x^2-5}{10x}=\dfrac{30}{4}\)

=>\(6x^2-5=10x\cdot\dfrac{30}{4}=5x\cdot15=75x\)

=>\(6x^2-75x-5=0\)

=>\(x=\dfrac{75\pm\sqrt{5745}}{12}\)