Question

12. Solve the following quadratic equations by factorization method 1/a+b+x=1/a+1/b +1/x
​

Answer 1

Step-by-step explanation:

Let's solve for a.

1/a+b+x=1/a+1/b+1/x

Step 1: Multiply both sides by a.

ab+ax+1=ab+ax+bx/bx

Step 2: Multiply both sides by bx.

ab2x+abx2+bx=ab+ax+bx

Step 3: Add -ab to both sides.

ab2x+abx2+bx+−ab=ab+ax+bx+−ab

ab2x+abx2−ab+bx=ax+bx

Step 4: Add -ax to both sides.

ab2x+abx2−ab+bx+−ax=ax+bx+−ax

ab2x+abx2−ab−ax+bx=bx

Step 5: Add -bx to both sides.

ab2x+abx2−ab−ax+bx+−bx=bx+−bx

ab2x+abx2−ab−ax=0

Step 6: Factor out variable a.

a(b2x+bx2−b−x)=0

Step 7: Divide both sides by b^2x+bx^2-b-x.

a(b2x+bx2−b−x)

b2x+bx2−b−x=0/b2x+bx2−b−x

a=0/b2x+bx2−b−x