Answer :
There are 16 tulips because the square root of 16 is 4, which means there will be 4 daffodils and 16+4=20. So the answer is 16 tulips.
Answer:
The number of tulips is 16.
Step-by-step explanation:
Here, x represents the number of tulips,
Since, the number of daffodils is equal to the square root of the number of tulips,
⇒ The number of daffodils = √x,
Thus, the total flowers = x + √x,
According to the question,
[tex]x + \sqrt{x} = 20[/tex],
[tex]\implies \sqrt{x} = 20 - x[/tex]
By squaring both sides,
[tex]x = (20-x)^2[/tex]
[tex]x = 400 + x^2 - 40x[/tex]
[tex]x^2-41x+400=0[/tex]
[tex]x^2-25x-16x+400=0[/tex]
[tex]x(x-25)-16(x-25)=0[/tex]
[tex]\implies (x-16)(x-25)=0[/tex]
⇒ x = 16 or x = 25,
But, if the number of tulip is 25,
Then the total number of flowers > 20 ( Not possible )
Thus, the number of tulips is 16.