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3 years ago

PLS HELP ME FINISH THIS THANKS

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

8 0

Pay attention to the even numbers

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Find the value of x² - x+1 when x=√3 -1, in the form a+b√3 where a and b are integers

lidiya [134]

Answer:

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

Step-by-step explanation:

We are given $x=\sqrt{3}-1$ and we are asked to find the value of $x^2-x+1$ .

So we will need to find $x^2$ .

$x=\sqrt{3}-1$

Square both sides:

$x^2=(\sqrt{3}-1)^2$

Expand using identity: $(x-a)^2=x^2-2ax+a^2$ .

$x^2=(\sqrt{3})^2-2(\sqrt{3})(1)+1^2$

$x^2=3-2\sqrt{3}+1$

$x^2=4-2\sqrt{3}$

Let's go back to the full $x^2-x+1$ .

$x^2-x+1$

$(4-2\sqrt{3})-(\sqrt{3}-1)+1$

$4-2\sqrt{3}-\sqrt{3}+1+1$

$6-3\sqrt{3}$

If you compare this to $a+b\sqrt{3}$ , then $a=6$ and $b=-3$ .

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4 years ago

Quincy was stuck inside during an afternoon rainstorm. He spent 20 minutes reading books, 18 minutes eating lunch, 12 minutes wa

Scorpion4ik [409]

Answer:

the hell you are talking about?

Step-by-step explanation:

6 0

3 years ago

Which fraction has the same value as 0.6

Zinaida [17]

Using the place value chart we can see that the decimal 0.6 is six tenths, so we can write 0.6 as the fraction $\frac{6}{10}$ . Notice however that $\frac{6}{10}$ is not in lowest terms so we need to divide the numerator and the denominator by the greatest common factor of 6 and 10 which is 2.