What is the value of x?
(x+2)(x+3)=100
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(x+2)(x+3)=100
x^2+3x+2x+6=100
x^2+5x-94=0
by completing the square method
x^2+5x+(5/2)^2-(5/2)^2-94=0
(x+5/2)^2=25/4+94
(x+5/2)^2=25+376/4
(x+5/2)^2=401/4
x+5/2=√401/2, -√401/2
x = 5+√401/2, 5-√401/2
x^2+3x+2x+6=100
x^2+5x-94=0
by completing the square method
x^2+5x+(5/2)^2-(5/2)^2-94=0
(x+5/2)^2=25/4+94
(x+5/2)^2=25+376/4
(x+5/2)^2=401/4
x+5/2=√401/2, -√401/2
x = 5+√401/2, 5-√401/2
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if this question is related to algebra then SYMBOLAB calculator can be used
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