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If a and b are the zeros of the quadratic polynomial x2 - 4x + 1 then a + b is equal to . please |
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Answer» hope this helps MARK me as BrrilentestStep-by-step explanation:ANSWERα,β roots of F(x)=kx 2 +4x+4Given α 2 +β 2 =24We know α+β= a−b = K−4 αβ= ac = k4 (α+β) 2 =α 2 +β 2 +2αβ( k−4 ) 2 =24+2( k4 )k 2 4 2 =24+2( k4 )16=24k 2 +8k2=3k 2 +k0=3k 2 +k−20=3k 2 +3k−2k−20=3k(k+1)−2(k+1)0=(k+1)(3k−2)∴k=−1, 32 |
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