Question

The equation 2x²+bx+c=0 the sum and the product of the roots are given in this table : Sum:3/2 ; Product : -1. Find the value of the coefficients b and c​

Answer 1

Answer:

b = -3 c =-2

Step-by-step explanation:

we know that,

$sum \: of \: roots = \frac{ - b}{a}$

here a =2 [from question]

hence -b/a = 3/2

-b/2 = 3/2

-b= 3X2/2

-b=3

b= -3 [multiplying (-1) both side]

$product \:of \: root = \frac{c}{a}$

hence c/a = -1

c/2 = -1

c = -1X2

c = -2

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