Quadratic equation with fractions?

Question

x^2 - 1/2x - 3/16 = 0

How do I eliminate the fractions? What do I multiply the whole equation by?

Answer 1

x^2-1/2x-3/16=0

16x^2-8x-3=0

From there, I'd go with the Quadratic Formula

OR

x^2-1/2x=3/16

x^2-1/2x+1/16=3/16+1/16

(x-1/4)^2=4/16

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

x=1/4+/-2/4

x=3/4 or -1/4

Answer 2

By 16, which yields:

16x^2 - 8x - 3 = 0

Answer 3

you can multiply the equation by 16 and end up with 16x^2 - 8x - 3.

Answer 4

You could multiply the quadratic equation by 2. You would get 2x^2-x-1/4=0 but that wouldent eliminate the fractions but it would make the quadratic simpler.

Answer 5

Assuming that you mean :-

x² - (1/2) x - 3/16 = 0 and NOT as given :-

16x² - 8x - 3 = 0

x = [ 8 ± √ (64 + 192 ) ] / 32

x = [ 8 ± √ (256 ) ] / 32

x = [ 8 ± (16) ] / 32

x = 24/32 , x = - 8/32

x = 3/4 , x = - 1/4

Answer 6

Multiply the whole equation by 16.

x^2 - 1/2x - 3/16 = 0

16(x^2 - 1/2x - 3/16) = 0

16x^2 - 8x - 3 = 0

Plug into the quadratic formula...

and you get 3/4 and -1/4

So your answers are 3/4 and -1/4.

Answer 7

Multiply by 16

16x^2-8x-3=0

16x^2+4x-12x-3=0

4x(4x+1)-3(4x+1)=0

(4x-3)(4x+1)=0

x=3/4 or -1/4