Question

Write a quadratic equation whose sum and product of zeros are 5 and -7 respectively
OR​

Answer 1

Answer:

If α and β are the roots of the quadratic polynomial

then eq

n

becomes

x

2

−(α+β)x+αβ

Here sum =5 and product =−2

∴ quadratic polynomial = x

2

−5x−2

Answer 2

Given :

• sum of zeroes = 5
• product of zeroes = -7

To Find :

• find quadratic equation ?

Solution :

we have,

• sum of zeroes = 5

• product of zeroes = -7

and we know that,

★ quadratic equation = x² - (sum of zeroes)x + (product of zeroes)

➪ x² - 5x + (-7)

➪ x² - 5x - 7

so, the quadratic equation is x² - 5x - 7