The Sum Of the roots of the qadratic equationos is 5 and the productof

1.	The Sum Of the roots of the qadratic equationos is 5 and the productof their root is 35 then form a quadratic Equation ?
Answer» Answer:ANSWER Let the TWO ROOTS be α and β α+β=5 , α 3 +β 3 =35 (α+β) 3 =α 3 +β 3 +3αβ(α+β) (5) 3 =35+3αβ(5) 125=35+15αβ 90=15αβ ∴ 15 90 =αβ ∴αβ=6 Quadratic Eq n : x 2 −(sumofroots)x+productofroots=0 x 2 −(α+β)x+αβ=0 x 2 −5x+6=0 Step-by-step EXPLANATION:

The Sum Of the roots of the qadratic equationos is 5 and the productof their root is 35 then form a quadratic Equation ?

Answer»

Answer:ANSWER

Let the TWO ROOTS be α and β

α+β=5 , α

+β

=35

(α+β)

=α

+β

+3αβ(α+β)

(5)

=35+3αβ(5)

125=35+15αβ

90=15αβ

∴

=αβ

∴αβ=6

Quadratic Eq

−(sumofroots)x+productofroots=0

−(α+β)x+αβ=0

−5x+6=0

Step-by-step EXPLANATION:

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The Sum Of the roots of the qadratic equationos is 5 and the productof their root is 35 then form a quadratic Equation ?​

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The Sum Of the roots of the qadratic equationos is 5 and the productof their root is 35 then form a quadratic Equation ?