Question

if a ,b are zeros of the polynomial 2 X ^2+ 7 x + 5 write the value of a + b + ab​

Answer 1

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Answer 2

p(x) = 2x² + 7x + 5

$x = \frac{ - b \frac{ + }{} \sqrt{ {b}^{2} - 4ac } }{2a} \\ x = \frac{ - 7 \frac{ + }{} \sqrt{49 - 4 \times 2 \times 5} }{4} \\ x = \frac{ - 7 \frac{ + }{} \sqrt{49 - 40} }{4} = \frac{ - 7 \frac{ + }{} \sqrt{9} }{4} \\ x = \frac{ - 7 \frac{ + }{}3 }{4}$

Therefore the zeroes of p(x) are

(-7+3)/4 = -4/4 = -1 and

(-7-3)/4 = -10/4 = -5/2

Therefore,

a = -1

b = -5/2

Hence,

a+b+ab = -1 - 5/2 +5/2 = -1

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