Math, asked by nandy1010101, 8 months ago

find zeroes of 6x 2+x–2 and verify the relation between the zeroes and their coefficients. ​

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Answered by ANISHA70617637
3

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Answered by SonalRamteke
7

ANSWER</p><p></p><p>Given, the polynomial </p><p></p><p>6x2−13x+6=0⇒6x2−9x−4x+6=0⇒3x(2x−3)−2(3x−3)=0⇒(2x−3)(3x−2)=0∴2x−3=0⇒x=233x−2=0⇒x=32</p><p></p><p>Let, α=23,β=32</p><p></p><p>From the polynomial we get, a=6,b=−13,c=6</p><p></p><p>∴ Relation between the zeroes and coefficients,</p><p></p><p>Sum of the zeroes=23+32=613=−6(−13)=ab</p><p></p><p>and product of the zeroes=23×32=66=ac</p><p></p><p>Hence, the relation between the zeroes and the coefficients of the polynomial is verified.</p><p></p><p>Answered By \:  \: sk</p><p></p><p>

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