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a)
![m(m+1)=30 m(m+1)=30](https://tex.z-dn.net/?f=m%28m%2B1%29%3D30)
![m^{2} +m-30=0 m^{2} +m-30=0](https://tex.z-dn.net/?f=+m%5E%7B2%7D+%2Bm-30%3D0)
![m_{1} =-6 m_{1} =-6](https://tex.z-dn.net/?f=m_%7B1%7D+%3D-6)
![m_{2} =5 m_{2} =5](https://tex.z-dn.net/?f=m_%7B2%7D+%3D5)
b)
![(k+2)(k+3)=42 (k+2)(k+3)=42](https://tex.z-dn.net/?f=%28k%2B2%29%28k%2B3%29%3D42)
![k^{2} +5k+6-42=0 k^{2} +5k+6-42=0](https://tex.z-dn.net/?f=+k%5E%7B2%7D+%2B5k%2B6-42%3D0)
![k^{2} +5k-36=0 k^{2} +5k-36=0](https://tex.z-dn.net/?f=+k%5E%7B2%7D+%2B5k-36%3D0)
![k_{1} =-9 k_{1} =-9](https://tex.z-dn.net/?f=+k_%7B1%7D+%3D-9)
![k_{2} =4 k_{2} =4](https://tex.z-dn.net/?f=k_%7B2%7D+%3D4)
c)
![(m+4)(m+5)=56 (m+4)(m+5)=56](https://tex.z-dn.net/?f=%28m%2B4%29%28m%2B5%29%3D56)
![m^{2} +9m+20-56=0 m^{2} +9m+20-56=0](https://tex.z-dn.net/?f=+m%5E%7B2%7D+%2B9m%2B20-56%3D0)
![m^{2} +9m-36=0 m^{2} +9m-36=0](https://tex.z-dn.net/?f=+m%5E%7B2%7D+%2B9m-36%3D0)
![m_{1}=-12 m_{1}=-12](https://tex.z-dn.net/?f=+m_%7B1%7D%3D-12+)
![m_{2} =3 m_{2} =3](https://tex.z-dn.net/?f=+m_%7B2%7D+%3D3)
b)
c)
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