Answer:
1.what number should be added to both sides of the equation? 1
2. how many of the solutions to the equation are positive? one, x=3.031
3.what is the approximate value of the greatest solution to the equation rounded to the nearest hundredth? 3.03
Step-by-step explanation:
The question is on solving for quadratic equations using the completing square method
The equation given is ;
4x²+8x+27=88...........rewrite the equation
4x²+8x+27-88=0
4x²+8x+-61=0...................divide every term of the equation by 4
4x/4²+8x/4+-61/4=0/4
x²+2x-15.25=0..................rewrite the equation as;
x²+2x=15.25.......................complete square on both sides
x²+2x+ (2/2)²= 15.25 +(2/2)²
x²+2x+1 = 15.25+1
x²+2x+1=16.25................factorize the left hand side
(x+1)²=16.25.....................eliminate the root on the left hand side
x+1=±√16.25
x+1= ± 4.031
solutions
x+1= +4.031
x= +4.031-1 =3.031
or
x+1= -4.031
x= -4.031-1 = - 5.031
