Question

Exit CertifyLesson: 13.7 Applications: Quadratic Equat...ISAIAH COVERTQuestion 5 of 17, Step 1 of 15/21CorrectAn orchard has 864 orange trees. The number of rows exceeds the number of trees per row by 5. Howmany trees are there in each row?AnswerHow to enter your answer (opens in new window)KeypadKeyboard Shortcutstrees

Answer 1

Given:

An orchard has 864 orange trees.

The number of rows exceeds the number of trees per row by 5.

To find: The number of trees in a row

Step-by-step explanation:

Let x be the number of trees in a row.

So, x+5 be the number of rows.

Let us frame the equation as follows.

`\begin{gathered} x(x+5)=864 \\ x^2+5x=864 \\ x^2+5x-864=0 \\ x^2+32x-27x-864=0 \\ x(x+32)-27(x+32)=0 \\ (x-27)(x+32)=0 \\ x=27,\text{-}32 \end{gathered}`

Hence, the number of trees in a row is 27.

Final answer: There are 27 trees in each row.