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timurjin [86]
3 years ago
13

Whats the cube root of 234

Mathematics
2 answers:
Alik [6]3 years ago
5 0
The cube root of 234 is <span>6.16224014775</span>
Otrada [13]3 years ago
5 0
IDK what the answer is your welcome!!!!
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Find the value of k , if one of the two roots of the equation : x2 + k X – 98 = 0 is double
jenyasd209 [6]

Given:

x^2+kx-98=0

One of the two roots of the given equation is double  the additive inverse of the other.

To find:

The value of k.

Solution:

Let two roots of the given equation are \alpha and \beta.

According to the question,

\beta=2(-\alpha)        (Additive inverse of \alpha is -\alpha)

\beta=-2\alpha

If \alpha and \beta are roots of the quadratic equation ax^2+bx+c=0, then

\alpha+\beta=-\dfrac{b}{a}

\alpha\beta=\dfrac{c}{a}

We have,

x^2+kx-98=0

Here, a =1, b=k and c=-98.

\alpha+\beta=-\dfrac{k}{1}

\alpha-2\alpha=-k           [\because \beta=-2\alpha]

-\alpha=-k

\alpha=k           ...(i)

Now,

\alpha\beta=\dfrac{c}{a}

\alpha(-2\alpha)=\dfrac{-98}{1}          [\because \beta=-2\alpha]

-2\alpha^2=-98

Divide both sides by -2.

\alpha^2=49

Taking square root on both sides.

\alpha=\pm \sqrt{49}

\alpha=\pm 7

Using (i), we get

k=\pm 7

Therefore, the value of k is either -1 or 1.

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