Question

Find m if (m - 12)r + 2(m - 12) x + 2 = 0 has real and equal roots. The sum of two roots of a quadratic equation is 5 and sum of their cubes​

Answer 1

Step-by-step explanation:

Let the two roots be α and β

α+β=5 , α3+β3=35

(α+β)3=α3+β3+3αβ(α+β)

(5)3=35+3αβ(5)

125=35+15αβ

90=15αβ

∴1590=αβ

∴αβ=6

Quadratic Eqn :

x2−(sumofroots)x+productofroots=0

x2−(α+β)x+αβ=0

x2−5x+6=0

Answer 2

Answer:

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