Question

solve the equation and find the value of x, 14/ x +3 -1 = 5 / x +1 : x ≠ -3 , -1 for x​

Answer 1

Answer:

• 14/(x+3)-5/(x+1)=1
• 14(x+1)-5(x+3)/(x+3)(x+1)=1
• 14x-14-15x-15=x^{2}+x+3x+3
• 9x-1-x^{2}-4x-3=0
• -x^{2}+5x-4=0
• x^{2}-5x+4=0
• x^{2}-4x-x+4=0
• x(x-4)-1(x-4)=0
• (x-4)(x-1)=0
• x-4=0
• x=4
• x-1=0
• x=1
• x=(4,1)