Typethe correct answer in each box. 4x^2+8x+27=88 in order to solve by completing the square what number should be added to both sides of the equation? how many of the solutions to the equation are positive? what is the approximate value of the greatest solution to the equation rounded to the nearest hundredth?

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=88rewrite the equation

4x²+8x+27-88=0

4x²+8x+-61=0divide every term of the equation by 4

4x/4²+8x/4+-61/4=0/4

x²+2x-15.25=0rewrite the equation as;

x²+2x=15.25complete square on both sides

x²+2x+ (2/2)²= 15.25 +(2/2)²

x²+2x+1 = 15.25+1

x²+2x+1=16.25factorize the left hand side

(x+1)²=16.25eliminate 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

50x5=$250

step-by-step explanation: