Q:

Kim is making a bouquet for her friend. she used x tulips and some daffodils in the bouquet. the number of daffodils is equal to the square root of the number of tulips. if the total number of flowers in the bouquet is 20, find the number of tulips.

Accepted Solution

A:
Kim used 4 tulips in the bouquet.Step-by-step explanation:Tulips used = xDaffodils used = x²Total flowers in bouquet = 20According to given statement; [tex]x^2+x=20\\x^2+x-20=0[/tex]Factorizing the Eqn[tex]x^2+5x-4x-20=0\\x(x+5)-4(x+5)=0\\(x+5)(x-4)=0[/tex]Either, x+5=0        => x= -5Or, x-4=0        => x = 4As the number of flowers cannot be negative, therefore, x = 4 (Where x is the number of tulips used)Kim used 4 tulips in the bouquet.Keywords: factorization, subtractionLearn more about factorization at:brainly.com/question/3614284brainly.com/question/3799248#LearnwithBrainly