Question

If the sumof roots of quadratic equation is 10 and the product is 9, then form the quadratic equation.​

Answer 1

Answer:

x²- 10x + 9

Explanation :

As we have given, the sum of the roots of the quadratic equation is 10 and their product is 9.

consider the roots are α and β

(α + β ) = 10 , (α.β)=9

we know, the formula to making a quadratic equation if the roots of the quadratic polynomial are α and β ,

[ x² - (α + β)x + (α.β) ]

so the equation becomes,

x² - 10x + 9

therefore, x²- 10x + 9 is the required equation