Question

Sum of roots of trinomial 2x2 - 15 X-8
$2x \times 2x - 15x - 8$
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Answer 1

ANSWER:

2x(2x) - 15x - 8 = 0

2x²- 15x-8 = 0

By factorization

2x²- x + 16x - 8 = 0

take out x & 8 common

x(2x - 1) + 8(2x - 1) = 0

take out 2x-1 common

(2x - 1)(x - 1) = 0

2x - 1 = 0

2x = 1

x=1/2

or

x - 1 = 0

x = 1

now,

x = 1/2(or) 1

sum of roots α + β = 1/2+1

=3/2