Question

solve the quadratic equation: 1/x-3+1/x+5=1/3​

Answer 1

Hey Mate here is your answer

X= -3 ,7

Answer 2

The correct answer is $x^{2}$ - 4x + 9 = 0.

Given: $\frac{1}{x-3}+\frac{1}{x+5}=\frac{1}{3}$.

To Find: Solve the equation.

Solution:

$\frac{1}{x-3}+\frac{1}{x+5}=\frac{1}{3}$

$\frac{(x+5)+(x-3)}{(x+5)(x-3)}$ = $\frac{1}{3}$

$\frac{2x+2}{(x+5)(x-3)}=\frac{1}{3}$

Cross multiply the equations.

3(2x + 2) = (x + 5)(x - 3)

6x + 6 = $x^{2}$ + 5x - 3x - 15

6x + 6 = $x^{2}$ + 2x + 15

$x^{2}$ - 4x + 9 = 0

Hence, the quadratic equation is $x^{2}$ - 4x + 9 = 0.

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