Question

solve for x 9/x-b +b/x-a =2​

Answer 1

$\boxed{\red{\bold{Answer}}}$

$x−ba+x−ab=2(∗(x−a)(x−b))a(x−a)+b(x−b)=2(x−a)(x−b)ax−a2+bx−b2=2(x−a)(x−b)ax−a2+bx−b2=(2x−2a)(x−b)ax−a2+bx−b2=2x2−2bx−2ax+2ab−2x2+3bx+3ax−a2−b2−2ab=02x2−3bx−3ax+a2+b2+2ab=02x2−3(a+b)x+(a+b)2=02x2−2(a+b)x−1(a+b)x+(a+b)2=02x[x−(a+b)]−(a+b)[x−(a+b)]=0(2x−a−b)(x−a−b)=02x−a−b=0ORx−a−b=0</p><p></p><p>Therefore,</p><p></p><p>x = a+b / 2\:\:\:OR\:\:\:x = a + bx=a+b/2ORx=a+b</p><p></p><p>$