The area of a rectangular playing field is 192square meters. The length of the field is x+12 and the width is x-4. How do you calculate x by using quadratic formula?
As far as we are aware, a rectangle's area formula is:
Thus, by entering these values, we can express everything in terms of a quadratic, which the quadratic formula allows us to solve.
Let's enlarge the left side using the FOIL method.
Since this is a quadratic, we can solve it using the quadratic formula.
Now enter all of those values and make things simpler.
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To calculate the value of ( x ) using the quadratic formula, you need to set up an equation based on the given information.
The area of a rectangle is given by the formula: [ \text{Area} = \text{Length} \times \text{Width} ]
Given: [ \text{Area} = 192 , \text{m}^2 ] [ \text{Length} = x + 12 ] [ \text{Width} = x - 4 ]
So, the equation becomes: [ 192 = (x + 12)(x - 4) ]
Expanding the equation: [ 192 = x^2 + 12x - 4x - 48 ]
Combining like terms: [ 192 = x^2 + 8x - 48 ]
Rearranging terms to form a quadratic equation in standard form: [ x^2 + 8x - 192 = 0 ]
Now, you can apply the quadratic formula: [ x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}} ]
Where: [ a = 1 ] [ b = 8 ] [ c = -192 ]
Substitute these values into the quadratic formula and solve for ( x ).
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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