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insens350 [35]
3 years ago
8

3x^2 + 2x-4 = 0 help

Mathematics
2 answers:
igomit [66]3 years ago
5 0

Answer:

I dont know

Step-by-step explanation:

how to answer that

Gnesinka [82]3 years ago
3 0

Answer:

{ \rm{3 {x}^{2} + 2x - 4 = 0 }}

• let's use the quadratic formular to solve the quadratic equation given.

• Considering general quadratic equation; ax² + bx + c = 0

• therefore;

{ \tt{x =  \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} }} \\

  • a is 3
  • b is 2
  • c is -4

• substitute following the mathematical operation rules:

{ \rm{x =  \frac{ - 2 \pm \sqrt{ {2}^{2} - (4 \times 3 \times  - 4) } }{(2 \times 3)} }} \\  \\ { \rm{x =  \frac{ - 2 \pm52}{6} }} \\

• split the values:

{ \rm{either \:  \{x =  \frac{ - 2 +  \sqrt{52} }{6} \} \:  \: or \:  \:  \{x =  \frac{ - 2 -  \sqrt{52} }{6}  \} }} \\  \\ { \rm{either \:  \{x = 0.87 \} \:  \: or \:  \:  \{x =  - 1.54 \}}}

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What is the distance between (8,-3) and (4,-7) ?​
galina1969 [7]

Answer:

The answer is

<h3>4 \sqrt{2}   \: \:  \: or \:  \:  5.656 \:  \:  \: units</h3>

Step-by-step explanation:

The distance between two points can be found by using the formula

<h3>d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  }  \\</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(8,-3) and (4,-7)

The distance between them is

<h3>d =  \sqrt{ ({8 - 4})^{2}  +  ({ - 3 + 7})^{2} }  \\  =  \sqrt{ ({4})^{2} + ( { - 4})^{2}  }  \\  =  \sqrt{16 + 16}  \\  =  \sqrt{32}</h3>

We have the final answer as

<h3>4 \sqrt{2}   \: \:  \: or \:  \:  5.656 \:  \:  \: units</h3>

Hope this helps you

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