Equation 6513

Solve the equation

(y + 5 / y-3) + (y + 3 / y-5) = 3

Correct answer:

y1 =  4.6375
y2 =  0.8625

Step-by-step explanation:

(y+5/y−3) + (y+3/y−5) =3 (y2+5−3y)+(y2+3−5y)=3y  2y2−11y+8=0  a=2;b=−11;c=8 D=b2−4ac=112−4⋅2⋅8=57 D>0  y1,2​=2a−b±D​​=411±57​​ y1,2​=2.75±1.887459 y1​=4.637458609 y2​=0.862541391 y1​=4.6375

Our quadratic equation calculator calculates it.

y2​=0.8625

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