Math, asked by siddcrash, 1 year ago

6x^2+ 12x-18=0 sum product and roots

Answers

Answered by rahul12825
1
at the end of 1 year on Rupees 1 and 1808 8% per annum compounded annually
Answered by Divyaalia
8

hey \: mate \: here \: is \: your \: answer...
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6 {x}^{2}  + 12x - 18 = 0 \\  6 {x}^{2}  + (18 - 6)x - 18 = 0 \\  {6x}^{2}  + 18x - 6x - 18 = 0 \\ 6x(x + 3) - 6(x + 3) = 0 \\ (6x - 6)(x + 3) = 0 \\ 6x - 6 = 0 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  x + 3 = 0 \\  \:  \:  \:  \:  \:  \:  \: 6x = 6 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  - 3 \\  \:  \:  \:  \:  \:  \:  \:  \:  \: x =  \frac{6}{6}   \\  \:  \:  \:  \:  \:  \:  \:  \:  \: x = 1

sum \: of \: zeros \:  =  \frac{ - b}{a}  \\  \\ 1 + ( - 3) =  \frac{ - 12}{6}  \\  \\  \:  \:  \:  \:  \:  \:  \:  1 - 3 =  - 2 \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: - 2 =  - 2

product \: of \: zeros =  \frac{c}{a}  \\  \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: 1 \times  - 3 =  \frac{ - 18}{6}  \\  \\   \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: - 2 =  - 2

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hope \: it \: helps.....
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