Question

Form the quadratic equation if its roots are:

$\frac{1}{2}$ and $\frac{-1}{2}$

• A. $4x^2-1=0$
• B. $4x^2-4=0$
• C. $4x^2+1=0$
• D. $4x^2-3=0$

Answer 1

The correct option is A $4x^2-1=0$

The roots of the equation are $\frac{1}{2}$ and $\frac{-1}{2}$

Therefore,

$(x-\frac{1}{2})(x+\frac{1}{2})$=0

$\Rightarrow x^2+\frac{x}{2}-\frac{x}{2}-\frac{1}{4}=0$

$x^2-\frac{1}{4}=0$

$4x^2-1=0$