Answer:
Multiply both sides of the equation by [tex]1/4[/tex]
Step-by-step explanation:
we have
[tex]4x^{2} +16x=20[/tex]
Step 1
Multiply both sides of the equation by [tex]1/4[/tex]
[tex]x^{2} +4x=5[/tex]
Step 2
Complete the square. Remember to balance the equation by adding the same constants to each side
[tex]x^{2} +4x+4=5+4[/tex]
[tex]x^{2} +4x+4=9[/tex]
Step 3
Rewrite as perfect squares
[tex](x+2)^{2}=9[/tex]
Step 4
Square root both sides
[tex]x+2=(+/-)3[/tex]
[tex]x=-2(+/-)3[/tex]
[tex]x=-2+3=1[/tex]
[tex]x=-2-3=-5[/tex]
therefore
the answer is
Multiply both sides of the equation by [tex]1/4[/tex]
