SOLUTION: Find the length and width of a rectangle whose area is 2x^2 +5x + 7

Question 558845: Find the length and width of a rectangle whose area is 2x^2 +5x + 7
Answer by heilok(4) (Show Source): You can put this solution on YOUR website!
The question is WRONG.

as this is a quadratic equequation,we have to consider the value of delta.

Delta=b^2-4ac
=5^2-4(2)(7)
=25-56
=-31<0.
So, there are no real roots for the equation, which is impossible for length.

Solved by pluggable solver: SOLVE quadratic equation with variable

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

The discriminant -31 is less than zero. That means that there are no solutions among real numbers.

If you are a student of advanced school algebra and are aware about imaginary numbers, read on.

In the field of imaginary numbers, the square root of -31 is + or - .

The solution is

Here's your graph:

RELATED QUESTIONS
Find the perimeter and area of a rectangle whose length is 5x - 2 and width is... (answered by tommyt3rd)

Find an expression for the width of a rectangle whose length is represented by x-2 and... (answered by ewatrrr)

1.find the area of a rectangle whose length and width measures 4x-2 cm and 5x+3 cm... (answered by mananth)

find the are and perimeter of a rectangle whose length is x and whose width is... (answered by nyc_function)

the length of a rectangle is (5x) feet, and the width is (2x-7). find the area of the... (answered by nerdybill)

What is the length of a rectangle whose area is 84 inches square and whose width is 7... (answered by checkley79)

Find the area of a rectangle whose length is x and its width is... (answered by MathLover1)

Find the dimensions of a rectangle whose width is 7 miles less than half its length and... (answered by checkley77)

find the area and perimeter of a rectangle whose length is x and whose width is (4x+5) (answered by robertb)