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

Question

4 years ago

6

the square root of the number of tulips. If the total number of flowers in the bouquet is 20, find the number of tulips

1 answer:

zzz [600] · Answer 1 · 2021-12-15T17:02:56+03:00

Kim used 4 tulips in the bouquet.

Step-by-step explanation:

Tulips used = x

Daffodils used = x²

Total flowers in bouquet = 20

According to given statement;

$x^2+x=20\\x^2+x-20=0$

Factorizing the Eqn

$x^2+5x-4x-20=0\\x(x+5)-4(x+5)=0\\(x+5)(x-4)=0$

Either,

x+5=0 => x= -5

Or,

x-4=0 => x = 4

As 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, subtraction

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