Question

The sum of two roots of quadratic equation is 10 & their product is 9. Find the equation. ​

Answer 1

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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.

Answer 2

Answer:

x²-10x+9

Step-by-step 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 a and B

(a + B) = 10' (a.B)=9

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

[x² - (a + B)X + (a.B) ]

so the equation becomes,

x² - 10x + 9

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