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Artemon [7]
3 years ago
15

What is the answer for m^2-5m-14=0?

Mathematics
1 answer:
tensa zangetsu [6.8K]3 years ago
3 0

Answer: m = 7 or -2

Step-by-step explanation:

Quadratic Formula!  \frac{{-b (+/-)\sqrt{(b^{2}-4ac }}}{2a}

Polynomial Form: ax^{2} +bx+c

So in this example a: 1  b: -5  c: -14

You get:\frac{{-(-5) (+/-)\sqrt{((-5)^{2}-4(1)(-14) }}}{2(1)}

m = 7 or -2

Check by plugging a value back in for m

(7)^{2} -5(7)-14=0?\\(-2)^{2} -5(-2)-14=0?\\

True for both.

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Step-by-step explanation:

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3 0
2 years ago
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A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the dog covers 1/2 of a metre.
almond37 [142]

Answer:

The goat would cover <u>9 meters</u> in taking 24 steps.

Step-by-step explanation:

<u><em>There is a mistake in the question so the correct question is below:</em></u>

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers =  \frac{1}{2} \ meter.

So, 3 step of horse covers = \frac{1}{2} \times 3 =\frac{3}{2} =1.5\ meters.

<u><em>Thus, 3 steps of horse covers = 1.5 meter</em></u><em>s.</em>

<em>As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.</em>

<u><em>So, the distance covers by goat in 4 steps = 1.5 meters.</em></u>

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = \frac{1.5}{4}

Thus, the distance cover by the goat in 24 steps = \frac{1.5}{4}\times 24

= \frac{36}{3}

= 9\ meters.

Therefore, the goat would cover 9 meters in taking 24 steps.

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2 years ago
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