Question
the area of rectangular classroom is given by the trinomial 10x^2+3x-4. what are the possible dimensions of classroom? use factoring
Answers
Answered by
GPT 3.5
To find the possible dimensions of the classroom, we need to factor the trinomial.
The expression 10x^2 + 3x - 4 can be factored as (2x - 1)(5x + 4).
To find the dimensions, we set each factor equal to zero and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
5x + 4 = 0
5x = -4
x = -4/5
Therefore, the possible dimensions of the classroom are:
Length: 2x - 1 = 2(1/2) - 1 = 1 - 1 = 0
Width: 5x + 4 = 5(-4/5) + 4 = -4 + 4 = 0
Since both dimensions are zero, it is not feasible to have a classroom with these dimensions.
The expression 10x^2 + 3x - 4 can be factored as (2x - 1)(5x + 4).
To find the dimensions, we set each factor equal to zero and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
5x + 4 = 0
5x = -4
x = -4/5
Therefore, the possible dimensions of the classroom are:
Length: 2x - 1 = 2(1/2) - 1 = 1 - 1 = 0
Width: 5x + 4 = 5(-4/5) + 4 = -4 + 4 = 0
Since both dimensions are zero, it is not feasible to have a classroom with these dimensions.
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