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ASHA 777 [7]
3 years ago
10

Using the quadratic formula to solve x2 = 5 – x, what are the values of x?

Mathematics
2 answers:
MrMuchimi3 years ago
6 0

Answer:

A quadratic equation ax^2+bx+c = 0    ....[1] where, a, b and c are coefficient.

Then the solution is given by:

x = -\frac{b \pm \sqrt{b^2-4ac}}{2a}        ....[2]

As per the statement:

Given the equation:

x^2=5-x

⇒x^2+x-5 = 0

On comparing with [1] we have;

a =1, b = 1 and c = -5

Then substitute these in [2] we have;

x = \frac{-1 \pm \sqrt{1^2-4(1)(-5)}}{2(1)} =\frac{-1 \pm \sqrt{1+20}}{2} =\frac{-1 \pm \sqrt{21}}{2}

Therefore, the values of x are:

x = \frac{-1 + \sqrt{21}}{2} , \frac{-1 - \sqrt{21}}{2}

Romashka [77]3 years ago
5 0

The answer will be A. -1+=\sqrt{21}/2

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2. (5, -5)

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Answer:

The height of the hot air balloon is 1514.54 feet approximately.

Step-by-step explanation:

Consider the provided information.

The angle of elevation from the top of a 95-foot tall building to a hot air balloon in the sky is 76. If the horizontal distance between the building and the hot air balloon is 354 feet, find the height of the hot air balloon

The figure is shown below:

Let the height of the balloon is AD, the height of the building is BC.

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