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2 years ago

What are two numbers that add to -1 and multiply to -8

Mathematics

1 answer:

Ierofanga [76]2 years ago

5 0

Answer:

(-1-√33)/2, (-1+√33)/2

Step-by-step explanation:

If one of them is x, then it satisfies ...

x + -8/x = -1

x^2 -8 = -x . . . . . multiply by x

x^2 +x = 8 . . . . . add x+8

x^2 +x + 1/4 = 8+1/4 . . . . complete the square

(x +1/2)^2 = 33/4

x + 1/2 = ±(1/2)√33 . . . . . . take the square root

x = (-1/2)(1 ± √33) . . . . . . . subtract 1/2

The numbers are approximately ...

-3.37228, 2.37228

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3 years ago

Whats the most accurate estimation of 65 77

Gwar [14]

Addition: 70 + 80 = 150. You round 65 up because the ones digit is greater than and the same with 77.
Multiplication: Round up since both ones digits are bigger than 5. 70 x 80= 5600.

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3 years ago

Figure EFGHK as shown below is to be transformed to figure E′F′G′H′K′ using the rule

MAVERICK [17]

9514 1404 393

Answer:

(a) (4, 8)

Step-by-step explanation:

Apply the transformation rule to the coordinates of point H.

(x, y) → (x +8, y +5)

H(-4, 3) → H'(-4 +8, 3 +5) = H'(4, 8)

4 0

2 years ago

what is the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube

Dmitrij [34]

Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

$\frac{99}{2} (2x+98)=p^3 \\ \\ 99x+4,851=p^3\\ \\ \Rightarrow x=\frac{p^3-4,851}{99}$

By substitution, we have that $p=33$ and $x=314$ .

Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>

3 0

3 years ago

I need help, it is urgent

quester [9]

Well for answer 23 is -6 √(5) + 6 √(2).
The answer for 25 is -3 √(5) - 2 √(6)
And the answer for 27 is -15 √(5) + 4 √(3) + 3 √(6)

Hope this helps :)

5 0

3 years ago