Math, asked by choudharysoni2005, 11 months ago

find. x (2+5x)7=84​

Answers

Answered by Anonymous
38

 {\boxed {\underline {\red{answer}}}}

Let's solve your equation step-by-step.

x(2+5x)(7)=84

Step 1: Simplify both sides of the equation.

35 {x}^{2}  + 14x  = 84

Step 2: Subtract 84 from both sides.

35 {x}^{2}  + 14x  -\blue{84} = 84 -  \blue {84}

35 {x}^{2}  + 14x  - 84= 0

For \:  this  \: equation:  \blue{ a=35},  \green{b=14},  \red{ c=-84}

 \blue{35}  {x}^{2}  +  \green{ 14x} + \red{  - 84 }= 0

Step 3: Use quadratic formula

with \:  \blue{ a=35},  \green{b=14},  \red{ c=-84}

x =  \frac{ -  \green{b}±  \sqrt{ { \green{b}}^{2} - 4 \blue{a} \red{c}   } }{2 \blue{a} }

x =  \frac{ -  \green{14}±  \sqrt{ { \green{(14)}}^{2} - 4 (\blue{35}) (\red{ - 84}  ) } }{2 (\blue{35}) }

x =  \frac{ - 14±  \sqrt{11956} }{70}

x =  \frac{ - 1}{5}  +  \frac{1}{5}  \sqrt{61}  \:  \: or \:  \: x =  - 1 +  \frac{ - 1}{5}  \sqrt{61}

{ \boxed {\tt{answer}}}

 \small\boxed{x =  \frac{ - 1}{5}  +  \frac{1}{5}  \sqrt{61}  \:  \: or \:  \: x =  - 1 +  \frac{ - 1}{5}  \sqrt{61} }

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