Question

Write a quadratic equation, whose sum and product of zeroes is -5 and 2

Answer 1

Step-by-step explanation:

Let α = -5 and β = 2

Therefore,

Sum of zeroes = α+β= -5 +2= -3

Product of zeroes =α•β = -5 • 2 = -10

For quatratic eq.

formula is x^2 - (α+β)x + α•β

x^2 -[-3]x + (-10)

x^2 + 3x - 10

Ans....

Answer 2

Answer:

Given,

Sum of zeroes= -5

Sum of zeroes= -5Product of zeroes= 2

x²+(sum of zeroes)x+(product of zeroes)

=x²+(-5)x+(2)

=x²-5x+2,

Is the required equation.