Question

help me to solve this problem ​

Answer 1

Answer:

2x^2+7/2x+3/4=0

8x^2+14x+3=0

8x^2+12x+2x+3=0

4x(2x+3)+1(2x+3)=0

4x+1=0 &2x+3=0

x=-1/4 & x=-3/2

sum of the roots =-b/a

-1/4+-3/2=-7/4

product of the roots=c/a

-1/4*-3/2=3/8

Answer 2

Answer:

take the l.c.m

8x square + 14x +3 =0

a= 8; b= 14 ; c= 3

ac = 8 * 3 = 24

b= 14

factors of 24 with sum 14  are 12 and 2

middle term splitting

8x square +12x +2x +3 =0

4x(2x +3) +1(2x + 3) = 0

(4x+1)(2x+3) = 0

4x +1 = 0 or 2x +3 =0

x = -1/4 or x = -2/3

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Step-by-step explanation: