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2 years ago

5. What is the value of x?

Mathematics

1 answer:

balu736 [363]2 years ago

4 0

Answer:

5 $\sqrt{3}$

Step-by-step explanation:

in a 30-60-90 triangle the ratio of sides, respectively, is 1 : $\sqrt{3}$ : 2

you can set up a proportion like this to solve for 'x':

$\sqrt{3}$ / 1 = 15 / x

cross-multiply:

$\sqrt{3}$ x = 15

x = 15/ $\sqrt{3}$

rationalize the denominator by multiply top and bottom by $\sqrt{3}$

you get 15 $\sqrt{3}$ ÷ 3 which is 5 $\sqrt{3}$

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The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

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The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.

We have to find the roots of this given equation.

If a quadratic equation is of the form $ax^{2}+bx +c=0$

Its roots are $\frac{-b+\sqrt{b^{2}-4ac } }{2a}$ and $\frac{-b-\sqrt{b^{2}-4ac } }{2a}$

Here the given equation is $2x^{2}-4x-1$ = 0

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