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kicyunya [14]
3 years ago
9

Use the quadratic formula to solve for x.

Mathematics
1 answer:
ryzh [129]3 years ago
8 0

Answer:

The answer is

x =   \frac{ - 9 -  \sqrt{41} }{10}  \:  \:   \: ,  \:  \:  \:  \:  \:   \frac{ - 9 +  \sqrt{41} }{10}  \\

Step-by-step explanation:

5x² + 9x + 2 = 0

Using the quadratic formula that's

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

From the question

a = 5 , b = 9 , c = 2

We have

x =   \frac{ - 9 \pm \sqrt{ {9}^{2} - 4(5)(2) } }{2(5)}  \\  =  \frac{ - 9 \pm \sqrt{81 -40 } }{10}  \\  =  \frac{ - 9 \pm \sqrt{41} }{10}   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

x =   \frac{ - 9 -  \sqrt{41} }{10}  \:  \:   \: ,  \:  \:  \:  \:  \:   \frac{ - 9 +  \sqrt{41} }{10}  \\

Hope this helps you

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