Question

If the sum of the roots of a quadratic equation is 6 and their product is 6, then find the equation​

Answer 1

Answer:

x^2-6x+6 =0

Step-by-step explanation:

sum of roots =6

product =6

thus the equation is

x^2-6x+6 =0

Answer 2

In the above Question , the following information is given -

The sum of the roots of a quadratic equation is 6 .

The product of roots of that quadratic Equation is also 6 .

Solution -

Let us assume that the roots of that quadratic Equation are α and β .

Now ,

The sum of the roots of a quadratic equation is 6 .

=> α + β = 6

The product of roots of that quadratic Equation is also 6 .

=> α β = 6

Now , a quadratic Equation can be written as -

x² - ( α + β ) x + ( α β )

Substituting the given Values -

=> x² - 6x + 6 .

This is the required answer .

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