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If α and β are zeros of the polynomial f(x)=3x²+2x+p and α²+β²+αβ=2/3, then find the value of p. |
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Answer» archWhat would you LIKE to ask?MATHSIf α and β are the roots of 3x 2 −5x+2=0, then FIND the value of βα + αβ ShareStudy laterVIDEO EXPLANATIONANSWERα,β are roots of 3x 2 −5x+2=0α+β=− ab = 35 a=3,b=−5,c=2αβ= ac = 32 βα + αβ = αβα 2 +β 2 = αβ(α+β) 2 −2αβ = 32 ( 35 ) 2 −2( 32 ) = 32 925 − 34 = 32 925−12 = 913 × 23 = 613 Step-by-step explanation:plz like and follow me |
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