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2 years ago

Factor 5a^2-30a+45, and 2x^5+x^4-2x-1.

Mathematics

1 answer:

Mrrafil [7]2 years ago

6 0

Step-by-step explanation:

${5a}^{2} - 30a + 45$

$5( {a}^{2} - 6a + 9)$

5(a-3)(a-3)

5(a-3)^2

${2x}^{5} + {x}^{4} - 2x - 1$

X^4(2x+1) - (2x+1)

(x^4-1)(2x+1)

(x^2-1)(x^2+1)(2x+1)

(x-1)(x-1)(x^2+1)(2x+1)

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The chain of the Hawaiian Islands can be used to calculate the rate of movement of the Pacific Plate over the last few million y

klasskru [66]

Answer:

9.28 × 10⁻⁴ cm/year.

Step-by-step explanation:

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2 years ago

Could someone explain why the value of x is (-2).

irina [24]

Answer:

$x=-2$

Step-by-step explanation:

Given equation:

$2x^3+16=0$

To solve for the unknown variable x, apply arithmetic operations to isolate the variable.

Subtract 16 from both sides:

$\implies 2x^3+16-16=0-16$

$\implies 2x^3=-16$

Divide both sides by 2:

$\implies \dfrac{2x^3}{2}=\dfrac{-16}{2}$

$\implies x^3=-8$

Take the cube root of both sides:

$\implies \sqrt[3]{x^3}=\sqrt[3]{-8}$

$\implies x=-2$

When taking the cube root of a negative number, the result will be negative. To understand why, examine what happens when we cube a negative number.

When a number is cubed, it is multiplied by itself, then by itself again.

When multiplying a negative number by another negative number, the result is always positive.

When multiplying a positive number by a negative number, the result is always negative.

Therefore:

$\begin{aligned}\implies (-2)^3 &= -2 \cdot -2 \cdot -2\\ & = 4 \cdot -2\\& = -8\end{aligned}$

So if -8 is cube rooted, the result is -2.

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