Question

solve the following equations transformable to quadratic equations.

1. 1/x + x/2 = 11/6 2. 2/x - x+1/5 = -4/5




3. 2/x-3 + x/2 = -1/2​

Answer 1

Answer:

Solve the following equations transformable to quadratic equations

1. 1/x+x/2=11/6

2. 2/x-x+1/5=-4/-5 (negative four/five)

Answer 2

Answer:

The following equations are the quadratic forms of the given equations.

1) 3x²-11x+6=0

2)5x²-x-50=0 3) x²-2x+1=0

Step-by-step explanation:

1) The given equation is

1/x + x/2 = 11/6

2+x²/2x = 11/6

6(2+x²) = 22x

12 + 6x² = 22x

6x² - 22x +12 = 0

3x² - 11x +6 = 0 ,which is the quadratic form

2) Given equation is

2/x - x+1/5 = -4/5

10-x²-x/5x = -4/5

50 - 5x² - 5x = -4x

5x² + x - 50 = 0 , which is the quadratic form

3) Given equation is

2/x-3 + x/2 = -1/2

4+x²-3x/2x-6 = -1/2

2(4+x²-3x) = -2x+6

8+2x²-6x = -2x+6

2x²-4x +2 =0

x²- 2x +1 =0, which is the quadratic equation