Question

I'm not really good at clearing fractions I need help with this problem please!

Answer 1

1/4x + 3 = 2x - 5/8

Find least common multiplier of 4x,8 is  8x

Multiply by LCM = 8x

1/4 x * 8 x + 3 * 8 x = 2 x * 8 x - 5/8 * 8 x

Refine:

2 + 24 = 16 x² - 5 x

Subtract 16 x² - 5 x from both sides:

2 + 24 x - ( 16 x² -5 x) = 16 x² - 5 x - (16 x²-5 x)

Refine: - 16 x² - 29 x + 2 = 0

Solving with the quadratic formula :

for a = - 16 , b = 29 and c = 2

x1 = - 29 √ 29² - 4(-16)*2
        -----------------------------
              2 (-16)

x1 = - √ 969  - 29
      ---------------------
                32


x2 = - 29 - √ 29² -4(-16)*2
        -----------------------------
               2(-16)

x2 = √ 969  + 29
      ---------------------
                32

The final solutions to the quadratic equation are:


x1 = - √ 969 - 29
      -------------------
              32

x2 = √ 969 + 29
      -------------------
             32


hope this helps!