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tamaranim1 [39]
3 years ago
5

Which expression is equivalent to: 3^2 x 3/ 3^4

Mathematics
1 answer:
lisov135 [29]3 years ago
6 0

Answer: 1/3

Step-by-step explanation:

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From the quadratic equation 3x² + X - 5 = 0, find alpha square plus beta square​
timama [110]

Answer:

  α² +β² = 3 4/9

Step-by-step explanation:

Assuming α and β are solutions to the equation, it can be factored as ...

  (x -α)(x -β) = 0

Expanding this, we get ...

  x² -(α +β)x +αβ = 0

Dividing the original equation by 3, we find ...

  x² +(1/3)x -5/3 ≡ x² -(α+β)x +αβ   ⇒   (α+β) = -1/3, αβ = -5/3

We know that the square (α+β)² can be expanded to ...

  (α +β)² = α² +β² +2αβ

  α² +β² = (α +β)² -2αβ . . . . . . subtract 2αβ

Substituting the values for (α+β) and αβ, we find the desired expression is ...

  α² +β² = (-1/3)² -2(-5/3) = 1/9 +10/3 = 31/9

  α² +β² = 3 4/9

4 0
2 years ago
(6+9)2+6(600-9)+600 divide 30
Evgesh-ka [11]

Step-by-step explanation:

GIVEN

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= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

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Step-by-step explanation:

5.69/25<1.25/4

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