Solve the equation. X^2-6x+6=0

Answers

Answer 1

Answer: $x^2-6x+6=0 \n \na=1, \ \ b=-6, \ \ c=6 \n\n\Delta =b^2-4ac = (-6)^2 -4\cdot1\cdot 6 = 36-24=12\n\n√(\Delta )=√(12)=√(4\cdot 3)=2√(3)\n \nx_(1)=(-b-√(\Delta) )/(2a)=(6-2√(3))/(2 )=(2( 3- √(3)))/(2)= 3- √(3)\n\nx_(2)=(-b+√(\Delta) )/(2a)=(6+2√(3))/(2 )=(2( 3+ √(3)))/(2)= 3+ √(3)$

Answer 2

Answer: $x^2-6x+6=0\n x^2-6x+9-3=0\n (x-3)^2=3\n x-3=\sqrt 3 \vee x-3=-\sqrt3\n x=3+\sqrt3 \vee x=3-\sqrt3$

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If QRST is a rectangle, find the value of x if angle Q is equal to 5x+30

Answers

A rectangle is a four-sided flat shape where every angle is a right angle (90°).

$QRST = 90^0$

$5x + 30 = 90$

$5x = 60$

$5x = 60 / 5$

$x = 12$

If QRST is a rectangle then Q = 90°.

Threfore

5x + 30 = 90 |subtract 30 from both sides

5x = 60 |divide both sides by 5

x = 12

How many core are there in 20 millon

Answers

Answer:

2 crore are there in 20 million.

Step-by-step explanation:

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Now,

10millions=1crore

20millions=1/10*20

=2crore

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Which property can be used to show that if 3a = 4b, then 4b = 3a?

Answers

Answer:

commutative property

Step-by-step explanation:

The commutative property is a math rule that says that the order in which we multiply numbers does not change the product.

Pls help! i don’t understand because i wasn’t paying attention in class :(

Answers

Answer:

1- $309.23

2- $107.10

3- 596.25

4- $8.18

There

Step-by-step explanation:

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9³•9⁴ [?]
-------- • 9³ = 9
9²

Answers

9514 1404 393

Answer:

9⁸

Step-by-step explanation:

The applicable rules of exponents are ...

(a^b)(a^c) = a^(b+c)

(a^b)/(a^c) = a^(b-c)

$(9^3\cdot9^4)/(9^2)\cdot9^3=9^(3+4-2+3)=\boxed{9^8}$

Answer:

Step-by-step explanation:

If √6 is the geometric mean between 4 and another number, then the number is

Answers

If you have two numbers x, y. The geometric mean is: √xy

For 4 and x. Geometric Mean = √4x and this is equal to √6

   √4x = √6 Square both sides. The square root disappears.

   4x = 6
   x = 6/4 = 3/2 = 1.5

The other number is 1.5.

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Convert the number below from exponential to standard notation.6(104) + 4(103) + 8(102) + 1(101) + 7(100) 6,481,700 648.17 648,170 64,817

** If you your answer contains an irrational number (a never ending decimal number) leave the number under the square root symbol.

What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exponents in your answer, so for example x2 = x^2. Also, type your equation answer without additional spaces.

What is the answer to this 17x-9(x+4)=3x-26