Math, asked by Angel018642, 11 months ago

I only need 16, 20, and 24. Show work please!!!!

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Answers

Answered by Anonymous
1

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Answered by anjalika32
1

here are your answers

1)

3 {w}^{2}  + 14w + 8 = 0 \\ 3 {w}^{2}  + 12w + 2w + 8 = 0 \\  + 4) + 2(w + 4) = 0 \\ (w + 4)(3w + 2)  = 0\\   => w =  - 4  \: \:  \: w =  -  \frac{2}{3}  \\  \\

2)

8 {p}^{2}  - 16p = 10 \\ 8 {p}^{2}  - 16p - 10 = 0 \\ 8 {p}^{2}   + 4p  - 20p - 10 = 0 \\4p(2p + 1) - 10(2p + 1) = 0 \\( 2p + 1)(4p - 10) = 0 \\  = > p =  -  \frac{1}{2}  \:  \: and \: p =  \frac{10}{4}  =  \frac{5}{2}

3)

6 {d}^{2}  + 21d = 10d + 35 \\ 6 {d}^{2}  + 21d - 10d - 35 = 0 \\ 6 {d}^{2}  + 11d - 35 = 0 \\ 6 {d}^{2}  - 10d + 21d - 35 = 0 \\ 2d(3d - 5) + 7(3d - 5) = 0 \\ (3d - 5)(2d + 7) = 0 \\  = >d =  \frac{5}{3}  \:  \:   and \: d =  -  \frac{7}{2}

hope this helps.

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