2(x + 1)² - x = 2x(x / 2 + 5) + 3(x - 9) + 7halle x1, x2?

Tarea

2(x + 1)² - x = 2x(x / 2 + 5) + 3(x - 9) + 7 halle x1, x2Respuesta : <img src="https://tex.z-dn.net/?f=%5Cboxed%7Bx_1%3D5%2B%5Csqrt%7B3%7D%7D%5Cqquad%5Cqquad%5Cqquad%20%5Cboxed%7Bx_2%3D5-%5Csqrt%7B3%7D%7D" />Explicación paso a paso : <img src="https://tex.z-dn.net/?f=2%28x%2B1%29%5E2-x%3D2x%28%5Cfrac%7Bx%7D%7B2%7D%20%2B5%29%2B3%28x-9%29%2B7%5C%5C%5C%5C2%28x%5E2%2B2x%2B1%29-x%3Dx%5E2%20%2B10x%2B3x-27%2B7%5C%5C%5C%5C2x%5E2%2B4x%2B2-x%3Dx%5E2%20%2B10x%2B3x-20%5C%5C%5C%5Cx%5E2%2B4x-x-10x-3x%3D-20-2%5C%5C%5C%5Cx%5E2-10x%3D-22%5C%5C%5C%5Cx%5E2-10x%2B22%3D0%5C%5C%5C%5C" />Para hallar el valor de x1 y x2 debemos analizar el discriminante<img src="https://tex.z-dn.net/?f=%5CDelta%3Db%5E2-4ac%5Cto%5CDelta%3D%28-10%29%5E2-4%281%29%2822%29%5Cto%5CDelta%3D100-88%5Cto%5C%5C%5C%5C%5CDelta%3D12%5C%20%3E0%2C%20tiene%20%5C%20dos%20%5C%20valores" />0, tiene \ dos \ valores" alt = " \ Delta = b ^ 2 - 4ac \ to \ Delta = ( - 10) ^ 2 - 4(1)(22) \ to \ Delta = 100 - 88 \ to \ \ \ \ \ Delta = 12 \ >0, tiene \ dos \ valores" align = "absmiddle" class = "latex - formula">Aplicamos Baskara<img src="https://tex.z-dn.net/?f=x%5E2-10x%2B22%5Cqquad%20a%3D1%5Cquad%20b%3D-10%5Cquad%20c%3D22%5C%5C%5C%5C%5Cdfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D%5C%5C%5C%5C%5C%5C%5Cdfrac%7B10%5Cpm%5Csqrt%7B%28-10%29%5E2-4%281%29%2822%29%7D%7D%7B2%281%29%7D%3D%5Cdfrac%7B10%5Cpm%5Csqrt%7B100-88%7D%7D%7B2%7D%3D%5Cdfrac%7B10%5Cpm%5Csqrt%7B12%7D%7D%7B2%7D%3D%5Cdfrac%7B10%5Cpm2%5Csqrt%7B3%7D%7D%7B2%7D%3D%5C%5C%5C%5C%5C%5C%5Cboxed%7Bx_1%3D5%2B%5Csqrt%7B3%7D%5Cqquad%5Cqquad%5Cqquad%20x_2%3D5-%5Csqrt%7B3%7D%7D" />

Espero que te sirva, salu2!