what is the quadratic polynomial whose sum of zeros is -3/2 and the product of zeros is -1
Answers
Given : Sum of zeroes of quadratic equation is -3/2 and product of zeroes is -1
To find : The quadratic equation
Solution :
A quadratic equation is an equation in which the highest degree of the variable is 2.
We are given the sum and product of zeroes of the quadratic equation and we have to find the equation.
To solve this problem, we should know a basic concept of a quadratic equation.
Every quadratic equation is of the form,
- x² - (sum)x + (Product)
Here,
- Sum = Sum of zeroes
- Product = Product of zeroes
Therefore, by substituting the values of sum and product of zeroes in the equation, we get :
⇒ x² - (-3/2)x - 1 = 0
⇒ x² + 3x/2 - 1 = 0
⇒ 2x² + 3x -2 = 0
Hence this is the required equation.
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