Question

2. What is the sum of the roots of 2x²+3x-2=0?

Answer 1

Answer:

sun of roots of a quadratic polynomial=-b/a

here b=3 ,a=2

$\alpha + \beta = \frac{ - 3}{2}$

Answer 2

To find :-

The sum of the roots of 2x²+3x-2=0.

Solution :-

$=> 2x^2 + 3x -2 = 0.\\\\ \\\implies 2x^2 + 4x - x -2 = 0\\ \\\\ \\ \\\implies 2x(x+2) - 1 (x + 2) =0\\\\\\\implies (x+2)(2x-1) = 0 \\\\\\\\\implies x = -2 \: \: or \: \: x = 1/2.\\\\\\\\\\Hence, sum \: \: of \: \: roots = -2+1/2 = -3/2.$