Question

X/4+1/8 =x2/4 simplify

Answer 1

Multiply by 8 through the entire equation to clear the fractions. Then solve the quadratic with the quadratic formula.

Explanation:

To solve the equation, clear the fractions by multiplying the entire equation by 8.

8*[x/4 + 1/8 = x^2/ 4] becomes 2x + 1 = 2x^2

Now rearrange into standard form and use the quadratic formula to solve.

-2x^2 + 2x + 1 = 0 where a = -2, b = 2 and c = 1.

The quadratic formula is
`x=(-b+/-√(b^2-4ac) )/(2a)`.

Substitute and you'll have:

`x=(-b+/-√(b^2-4ac) )/(2a) =(-2+/-√(-2^2-4(-2)(1)) )/(2(-2))=(-2+/-√(4+8) )/(-4))`

`(-2+/-√(12) )/(-4)=(-2+/-2√(3) )/(-4)=(1+/-√(3))/(2)`