To find the positive value of x, we need to solve the equation 2x^2 - 7x - 4 = 45.
First, rearrange the equation by subtracting 45 from both sides:
2x^2 - 7x - 4 - 45 = 0
2x^2 - 7x - 49 = 0
To solve this quadratic equation, it can be factored as follows:
(2x + 7)(x - 7) = 0
Setting each factor equal to zero:
2x + 7 = 0 or x - 7 = 0
Solving the first equation:
2x = -7
x = -7/2
Solving the second equation:
x = 7
Since we are seeking the positive value of x, the solution is x = 7.
the area of a rectangle can be expressed by 2x^2-7x-4 if the rectangle has an area of 45, find the positive value of x
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