Math, asked by akumahule2005, 9 months ago

6
6x2 + 7x - 10 = 0

Answers

Answered by nishant6422
0

Answer:

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Answered by Yugant1913
12

Step-by-step explanation:

 {6x}^{2}  + 7x - 10 = 0

Here, a = 6, b = 7, c = - 10.

 ∴ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  From \:  x \:  =  \frac{ - b± \sqrt{b²-4ac} }{2a} , \\

x =  \frac{ - 7± \sqrt{ {7}^{2} - 4.6(  - 10)} }{2.6}  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{ - 7± \sqrt{49 + 240} }{12}

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =  \frac{ - 7± \sqrt{289} }{12}  =  \frac{ - 7±17}{12}  \\

On taking ( +) sign,

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  \frac{ - 7 + 17}{12}  =  \frac{ 10 }{12}  =  \frac{5}{6}  \\

On taking ( -) sign,

 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  \frac{ - 7 - 17}{12}  =  \frac{ - 24}{12}  =  - 2 \\

∴ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  \frac{5}{6} ,  - 2.

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