SOLUTION: A rectangular backyard has an area of 2x^2-13x-24 m^2. Factor to find possible expressions to represent the length and the width.
Algebra.Com
Question 828393: A rectangular backyard has an area of 2x^2-13x-24 m^2. Factor to find possible expressions to represent the length and the width.
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
---
given:
y = 2x^2 - 13x - 24
---
factoring the quadratic:
y = (2x + 3)(x - 8)
---
roots:
x = 8
x = -(3/2)
---
the negative root doesn't fit the problem, so use the positive root:
---
the x dimension of the rectangle = 8 m
---
however:
---
y = 2*8*8 - 13*8 - 24 = 0
as expected for a quadratic root
---
the problem statement appears to contain an error.
please check your question and re-post.
RELATED QUESTIONS
A rectangular backyard has an area of 2x^2-13x-24^m2. Factor to find possible expressions (answered by Seutip,stanbon)
A backyard, square in shape, has an area of 25 m^2. What is the side length of the... (answered by CubeyThePenguin)
A rectangular garden has an area of 6x^2 + 11x - 10
Find two expressions that can... (answered by richard1234)
3. A triangular window has an area of 6x²- 3.5x - 5 centimeter squared. Using what you (answered by mananth)
Is it possible to have a rectangular property which has perimeter of 78 m and an area of... (answered by Alan3354,math_tutor2020,ikleyn)
An old dilapidated bungalow has just been bought and the new owner wanted to give a... (answered by ikleyn)
A rectangle has an area given by {{{A=x^2-3x-10}}} Find expressions for the possible... (answered by jsmallt9)
A rectangle has an area given by {{{A=x^2-3x-10}}} Find expressions for the possible... (answered by jsmallt9)
A rectangulargarden in a backyard has an area of ( 3x^2+5x-6) square meters.its width is... (answered by solver91311)