Question

Form a quadratic equation if its roots are 1
/2 −3
/4​​

Answer 1

➟If the roots are given as a,b

then the quadratic equation is

x²-(a+b)x+ab=0

➟Given::

roots are 1/2 and -3/4

Quadratic equation::

$\sf{ {x}^{2} - ( \frac{1}{2} + \frac{ - 3}{4})x + ( \frac{1}{2} \times \frac{ - 3}{4}) } = 0$

$\pmb{{ {x}^{2} - ( \frac{ - 1}{4} x)} + \frac{ - 3}{8} = 0}$

=>8x²+2x-3=0

Therefore the quadratic equation is 8x²+2x-3=0