$x^2-6x+6=0\\\\a=1;\ b=-6;\ c=6\\\Delta=b^2-4ac\\\\\Delta=(-6)^2-4\cdot1\cdot6=36-24=12 \ \textgreater \ 0\\\\then\\x_1=\dfrac{-b-\sqrt\Delta}{2a}\ and\ x_2=\dfrac{-b+\sqrt\Delta}{2a}\\\\\sqrt\Delta=\sqrt{12}=\sqrt{4\cdot3}=\sqrt4\cdot\sqrt3=2\sqrt3\\\\x_1=\dfrac{6-2\sqrt3}{2\cdot1}=\dfrac{6-2\sqrt3}{2}=\boxed{3-\sqrt3}\\\\x_2=\dfrac{6+2\sqrt3}{2\cdot1}=\dfrac{6+2\sqrt3}{2}=\boxed{3+\sqrt3}$

7 0

3 years ago

Which statements are true? Check all that apply. The square root of a positive number greater than 1 is less than the number. Th

Korolek [52]

Answer: The true statements are:-

1.The square root of a positive number greater than 1 is less than the number.

as 2<4

2.The square root of a positive number less than 1 is between 0 and 1.

as square root of 0.04 is 0.2 which lie between 0 and 1.

Step-by-step explanation:

2.The square root of a positive number is always less than half of the number itself . It is not true always , for example the number is 4 then the square root of 4 =2 and it is not less than half of 4=2 .

3.The square root of a positive number less than 1 is less than the number.

It is not true ,as 0.04= $(0.2)^2$

⇒ 0.2 is the square root of the number and is not less than the number.

4 .The square root of a perfect square is not a whole number. It is not true, as 4 is a perfect square and its square root is 2 which is a whole number.

4 0

3 years ago

Read 2 more answers

Grayson took a math quiz last week. He got 29 problems correct and 29 problems incorrect. What percentage did Grayson get correc

Nana76 [90]

Answer:

50%

Step-by-step explanation:

29 right and 29 wrong. 29+29=58

Divide 29 by 58 and you get .5

Move the decimal over two to the right, and there’s the 50%.

You could also multiply .5 by 100 and you’ll still get 50!