Answer: x= -3½ or ½
Step-by-step explanation:
x²+3x+c=7/4+c
Rearranged
x²+3x=7/4+c-c
(x²+3x)=7/4
Multiply both sides by 4
4(x²+3x)=4(7/4)
4x²+12x=7
4x²+12x-7=0
Factorise
4x²+14x-2x-7=0
2x(2x+7)-1(2x+7)=0
(2x+7)(2x-1)=0
2x+7=0 or 2x-1=0
2x=0-7 or 2x=0+1
2x= -7 or 2x=1
Divide both sides by 2
2x/2= -7/2 or 2x/2=1/2
x= -3½ or x=½
