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1 способ:
![16x^2=49,\16x^2-49=0,\(4x)^2-7^2=0,\(4x-7)(4x+7)=0,\\1) 4x-7=0,\x=frac{7}{4}=1frac{3}{4}=1,75;\\2) 4x+7=0,\x=-1,75; 16x^2=49,\16x^2-49=0,\(4x)^2-7^2=0,\(4x-7)(4x+7)=0,\\1) 4x-7=0,\x=frac{7}{4}=1frac{3}{4}=1,75;\\2) 4x+7=0,\x=-1,75;](https://tex.z-dn.net/?f=16x%5E2%3D49%2C%5C16x%5E2-49%3D0%2C%5C%284x%29%5E2-7%5E2%3D0%2C%5C%284x-7%29%284x%2B7%29%3D0%2C%5C%5C1%29+4x-7%3D0%2C%5Cx%3Dfrac%7B7%7D%7B4%7D%3D1frac%7B3%7D%7B4%7D%3D1%2C75%3B%5C%5C2%29+4x%2B7%3D0%2C%5Cx%3D-1%2C75%3B)
2 способ:
![16x^2=49,\\x^2=frac{49}{16},\\x_{1,2}=pmsqrt{frac{49}{16}},\\x_{1,2}=pmfrac{sqrt{49}}{sqrt{16}},\\x_{1,2}=pmfrac{7}{4}. 16x^2=49,\\x^2=frac{49}{16},\\x_{1,2}=pmsqrt{frac{49}{16}},\\x_{1,2}=pmfrac{sqrt{49}}{sqrt{16}},\\x_{1,2}=pmfrac{7}{4}.](https://tex.z-dn.net/?f=16x%5E2%3D49%2C%5C%5Cx%5E2%3Dfrac%7B49%7D%7B16%7D%2C%5C%5Cx_%7B1%2C2%7D%3Dpmsqrt%7Bfrac%7B49%7D%7B16%7D%7D%2C%5C%5Cx_%7B1%2C2%7D%3Dpmfrac%7Bsqrt%7B49%7D%7D%7Bsqrt%7B16%7D%7D%2C%5C%5Cx_%7B1%2C2%7D%3Dpmfrac%7B7%7D%7B4%7D.)
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