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Nuetrik [128]
2 years ago
11

Solve the equation 25z2 + 140 = −29 by using square roots.

Mathematics
2 answers:
oksian1 [2.3K]2 years ago
7 0

Answer:

<u>z</u><u> </u><u>is</u><u> </u><u>1</u><u>3</u><u>i</u><u>/</u><u>5</u>

Step-by-step explanation:

{ \sf{25 {z}^{2}  + 140 =  - 29}} \\ { \sf{25 {z}^{2} =  - 169 }} \\ { \sf{ \sqrt{25 {z}^{2} } =  \sqrt{ - 169}  }} \\ { \sf{5z =  \sqrt{169 \times  - 1} }} \\ { \sf{5z =  \sqrt{169}  \times  \sqrt{ - 1} }} \\ { \sf{5z = 13 \times  \sqrt{ {i}^{2} } }} \\ { \sf{5z = 13i}} \\ { \sf{z =  \frac{13i}{5} }}

Mice21 [21]2 years ago
5 0

Answer:

13i/5

Step-by-step explanation:

25z^2+140=-29      subtract 140 from both sides

25z^2=-169          now square root both sides.

\sqrt{25z^{2} }=\sqrt{-169}     a negative root forms i

5z=13i                    

z=13i/5

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