Question

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

Answer 1

The quadratic equation is:

x² + 5x +2 = 0

Step-by-step explanation:

Given:

Sum and products of zeroes of a quadratic equation is -5 and 2, respectively

To find out:

The quadratic equation

Solution:

We know that if sum of the zeroes and product of the zeroes of a quadratic equation are known then the quadratic equation is given by

x² - (sum of zeroes)x + product of zeroes = 0

Sum of zeroes = -5

Product of zeroes = 2

Therefore, the quadratic equation is

$x^2-(-5)x+2=0$

$\implies x^2+5x+2=0$

Hope this answer is helpful.

Know More:

Q: Find a quadratic equation sum and product of whose zeroes are -7 and -12 respectively.

Click Here: https://brainly.in/question/20967755

Q: Form a Quadratic polynomial whose sum of zeros is -4 and product of zeroes  is 2​.

Click Here: https://brainly.in/question/32102489