Question

If sum of zeroes is -1/4 and product is1/4 then dind quadratic equation

Answer 1

Answer:

$4t^2+t+1=0$

Step-by-step explanation:

Let the zeroes of polynomial be x and y

Given

x + y = -1/4

xy = 1/4

WKT

Quadratic Equation with Zeroes x and y is given by

$t^2-(x+y)t+xy=0$

The Required Q.E. is

$t^2-(-\frac{1}{4})t+(\frac{1}{4})=0\\\\Multiply\;\;with\;\;4\\\\4t^2+t+1=0$

HOPE IT HELPS