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1 year ago

7

Peter runs 3 over 4mile on Monday and 1 1 over 8miles on Tuesday. How many total miles did he run? Use mix number . ANS. ______

miles.

1 answer:

Tema [17]1 year ago

4 0

$\begin{gathered} Monday=\frac{3}{4} \\ \text{Tuesday}=\frac{11}{8} \end{gathered}$

You should sum the fraction

Next step mix number

$2\text{ }\frac{1}{8}$

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Answer:

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Step-by-step explanation:

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

a = 2

b = -4

c = -1

If the roots are $x_{1} and x_{2}$ , then

$x_{1}$ = $\frac{-2+\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{24}}{4}$

= $\frac{2+\sqrt{6} }{2}$

$x_{2}$ = $\frac{-2-\sqrt{(-4)^{2}-4\times 2\times (-1)}}{2\times 2}$

= $\frac{4 +\sqrt{8}}{4}$

= $\frac{2-\sqrt{6} }{2}$

These are the two roots of the equation.

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