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zhannawk [14.2K]
3 years ago
11

What are the solutions of the equation?

Mathematics
1 answer:
Romashka-Z-Leto [24]3 years ago
8 0

Answer:

Option (D) is correct.

The solution of the quadratic equation 5z^2-9z-2=0 is \frac{-1}{5} and  z=2.

Step-by-step explanation:

Consider the given quadratic equation 5z^2-9z-2=0

We can solve a quadratic equation using middle term splitting method,

-9z can be written as -10z+z

thus, the equation becomes,

5z^2-10z+z-2=0

Taking factors common, we get,

\Rightarrow 5z(z-2)+1(z-2)=0

\Rightarrow (5z+1)(z-2)=0

\Rightarrow (5z+1)=0  or  \Rightarrow (z-2)=0

\Rightarrow z=\frac{-1}{5} or \Rightarrow z=2

Thus, the solution of the quadratic equation 5z^2-9z-2=0 is \frac{-1}{5} and  z=2.


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Answer:

$245


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4 0
3 years ago
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Answer:

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3 0
3 years ago
Factor the following polynomial completely 6x^5-30x^4-84x^3
Andrei [34K]

Answer:

6x^3(x+2)(x-7)

Step-by-step explanation:

1st step: factor out common term, 6x^3(x^2 - 5x - 14)

2nd step: Factor x^2 - 5x - 14, (x + 2)(x - 7)

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8 0
3 years ago
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Answer:

See below.

Step-by-step explanation:

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4 0
2 years ago
If you are on a ship at sea navigating to a point that is 300 miles north and 400 miles west, find the distance from tour ship t
s344n2d4d5 [400]

Answer:

\huge \boxed{\mathrm{500 \ miles}}

Step-by-step explanation:

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3 years ago
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