CBSE Class 9 Answered

If α and β are the roots of quadratic equation , the the quadratic equation is

x² - ( α + β) x + ( α × β ) = 0  ..............................(1)

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Givej quadratic equation is

x² -  6 x  + 8 = 0

above qudratic equation is written as

x² -  (4+2) x  + ( 4 ×2 )  = 0 .............................. (2)

By comparing eqn.(1) and (2) , we get

α = 4  ;   β = 2

 α² + β² = 4² + 2² = 20

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