Respuesta :
Answer with explanation:
The given expression is:
⇒ 4 x^2+8 x+27=88
Dividing both sides by,4, we get
[tex]\rightarrow x^2 +2 x +\frac{27}{4}=22\\\\\rightarrow (x+1)^2-1 +\frac{27}{4}-22=0\\\\\rightarrow (x+1)^2-\frac{75}{4}=0\\\\\rightarrow (x+1)^2=\frac{75}{4}\\\\x+1=\pm\frac{8.66}{2}\\\\\rightarrow x+1=4.33 \text{or}\rightarrow x+1= -4.33\\\\\rightarrow x=4.33-1\\\\\rightarrow x=3.33\\\\\rightarrow x= -1-4.33\\\\\rightarrow x=-5.33[/tex]
→There are two solutions of this equation, one is
x = 3.33, which is positive
and other, x= -5.33, which is negative.
→As,the expression contains, square of ,(x+1), so, added and subtracted 1 to (x+1)².
→One Solution is Positive.
→Greatest positive Solution , x= 3.33
→Greatest Negative Solution , x=-5.33
