Question

Determine the quadratic equation whose sum and the product of the roots are -3/2 and -1

Answer 1

Answer:

answer is a=1,b=3,c=2

Step-by-step explanation:

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Answer 2

Given :

• The sum of the roots = -³/₂
• The product of the roots = -1

To find : The quadratic equation.

Solution :

The quadratic equation is , 2x²+3x-2 = 0

We can simply solve this mathematical problem by using the following mathematical process.

Let, the two roots of the quadratic equation = α and β

So,

Sum of two roots = (α + β) = -³/₂

Product of two roots = (αβ) = -1

Now, the said quadratic equation will be :

x² - (α + β)x + (αβ) = 0

or,

x² + ( ³/₂)x -1 = 0

or,

2x²+3x-2 = 0 (multiplying both sides with 2)

(This will be considered as the final result.)

Hence, the quadratic equation is 2x²+3x-2 = 0