Question

Find quadratic equations, whose sum and products of zeroes are as follows: (i) 1/4, -1
(ii) √2, 1/3 ​

Answer 1

the first one is very important

Answer 2

Step-by-step explanation:

Given,

Zeroes are 1/4 and -1

Quadratic Equation

= k(x^2 -(a+b)x + ab)

= a+b = 1/4 - 1

= -3/4

ab= 1/4 * -1

= -1/4

= k[x^2 - (-3/4)x + (-1/4)]

= k[ x^2 + 3x/4 - 1/4]

= k [ 4x^2 + 3x-1]/4

Let k = 4 (4 and 4 gets cancelled)

Q.E = 4x^2 + 3x